---
title: pi — school dictionary · trees and pragmatics
description: «pi» in the school dictionary: Pi is a special number, about 3.14, that links the distance around a circle to the distance across it. Every meaning for a pupil with its dependency tree and pragmatics.
---

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# pi

<!-- .vintro -->
**Who acts:** Pi, that, pipe, you, circumference, Area · **What happens:** be, link, noise, use, go on, remember · **To what, where:** special number, distance, circle, letter, shrill high sound, 3.14

<!-- .vabout -->
«pi» in the school dictionary: its 3 meanings for a pupil and its 9 examples, every sentence parsed by Mova itself — its syntax tree, a dependency tree in the style of Universal Dependencies, and its pragmatics clause by clause. The word in the dictionary, with its sense in the lessons: [pi in the school dictionary](https://md.mova.elamur.ai/free/en/dictionaries/school/w/pi.md).

## Meaning 1 {#m1}

<!-- .ven lang=en -->
Pi is a special number, about 3.14, that links the distance around a circle to the distance across it.

<!-- fold The tree, 19 words -->
```conllu
# sent_id = dict:school:pi:m1:1
# text = Pi is a special number, about 3.14, that links the distance around a circle to the distance across it.
1	Pi	pi	NOUN	NN	Number=Sing	5	nsubj	_	_
2	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	5	cop	_	_
3	a	a	DET	DT	Definite=Ind|PronType=Art	5	det	_	_
4	special	special	ADJ	JJ	Degree=Pos	5	amod	_	_
5	number	number	NOUN	NN	Number=Sing	0	root	_	SpaceAfter=No
6	,	,	PUNCT	,	_	8	punct	_	_
7	about	about	ADV	RB	_	8	advmod	_	_
8	3.14	3.14	NUM	CD	NumForm=Digit|NumType=Card	5	appos	_	SpaceAfter=No
9	,	,	PUNCT	,	_	11	punct	_	_
10	that	that	PRON	WDT	PronType=Rel	11	nsubj	_	_
11	links	link	VERB	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	8	conj	_	_
12	the	the	DET	DT	Definite=Def|PronType=Art	13	det	_	_
13	distance	distance	NOUN	NN	Number=Sing	11	obj	_	_
14	around	around	ADP	IN	_	16	case	_	_
15	a	a	DET	DT	Definite=Ind|PronType=Art	16	det	_	_
16	circle	circle	NOUN	NN	Number=Sing	13	nmod	_	_
17	to	to	ADP	IN	_	19	case	_	_
18	the	the	DET	DT	Definite=Def|PronType=Art	19	det	_	_
19	distance	distance	NOUN	NN	Number=Sing	16	nmod	_	_
20	across	across	ADP	IN	_	21	case	_	_
21	it	it	PRON	PRP	Case=Acc|Gender=Neut|Number=Sing|Person=3|PronType=Prs	19	nmod	_	SpaceAfter=No
22	.	.	PUNCT	.	_	5	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | present | Pi | a special number |  |  |  |  | tree rules |
| 2 | **link** | present | that | the distance |  | a circle to the distance across distance |  |  | vn mix-22.1-2-1 «NP V NP»: agent=Agent distance=Patient |

<!-- .note -->
One row per clause the reader finds. «not said here»: a role filled from the clause above. «roles by»: a VerbNet class and frame when one fits the verb, else the reader's rules on the tree.

## Meaning 2 {#m2}

<!-- .ven lang=en -->
Pi (π) is also a letter of the Greek alphabet.

```conllu
# sent_id = dict:school:pi:m2:1
# text = Pi (π) is also a letter of the Greek alphabet.
1	Pi	pi	NOUN	NN	Number=Sing	8	nsubj	_	_
2	(	(	PUNCT	-LRB-	_	3	punct	_	SpaceAfter=No
3	π	π	NOUN	NN	Number=Sing	1	appos	_	SpaceAfter=No
4	)	)	PUNCT	-RRB-	_	3	punct	_	_
5	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	8	cop	_	_
6	also	also	ADV	RB	_	8	advmod	_	_
7	a	a	DET	DT	Definite=Ind|PronType=Art	8	det	_	_
8	letter	letter	NOUN	NN	Number=Sing	0	root	_	_
9	of	of	ADP	IN	_	12	case	_	_
10	the	the	DET	DT	Definite=Def|PronType=Art	12	det	_	_
11	Greek	Greek	ADJ	JJ	Degree=Pos	12	amod	_	_
12	alphabet	alphabet	NOUN	NN	Number=Sing	8	nmod	_	SpaceAfter=No
13	.	.	PUNCT	.	_	8	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | present | Pi | a letter |  |  |  | of the Greek alphabet | tree rules |

## Meaning 3 {#m3}

<!-- .ven lang=en -->
Pi can also be a shrill, high sound, like the noise of a pipe.

<!-- fold The tree, 14 words -->
```conllu
# sent_id = dict:school:pi:m3:1
# text = Pi can also be a shrill, high sound, like the noise of a pipe.
1	Pi	pi	NOUN	NN	Number=Sing	9	nsubj	_	_
2	can	can	AUX	MD	VerbForm=Fin	9	aux	_	_
3	also	also	ADV	RB	_	9	advmod	_	_
4	be	be	AUX	VB	VerbForm=Inf	9	cop	_	_
5	a	a	DET	DT	Definite=Ind|PronType=Art	9	det	_	_
6	shrill	shrill	ADJ	JJ	Degree=Pos	9	amod	_	SpaceAfter=No
7	,	,	PUNCT	,	_	6	punct	_	_
8	high	high	ADJ	JJ	Degree=Pos	9	amod	_	_
9	sound	sound	NOUN	NN	Number=Sing	0	root	_	SpaceAfter=No
10	,	,	PUNCT	,	_	13	punct	_	_
11	like	like	ADP	IN	_	13	case	_	_
12	the	the	DET	DT	Definite=Def|PronType=Art	13	det	_	_
13	noise	noise	NOUN	NN	Number=Sing	9	conj	_	_
14	of	of	ADP	IN	_	16	case	_	_
15	a	a	DET	DT	Definite=Ind|PronType=Art	16	det	_	_
16	pipe	pipe	NOUN	NN	Number=Sing	13	nmod	_	SpaceAfter=No
17	.	.	PUNCT	.	_	9	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | can | Pi | a shrill high sound and the noise of a pipe |  |  |  |  | tree rules |
| 2 | **noise** |  | a pipe |  |  |  |  |  | nom noise «event intransitive»: of=agent |

## Example 1 {#x1}

<!-- .ven lang=en -->
Use 3.14 for pi.

```conllu
# sent_id = dict:school:pi:x1:1
# text = Use 3.14 for pi.
1	Use	use	VERB	VB	Mood=Imp|VerbForm=Fin	0	root	_	_
2	3.14	3.14	NUM	CD	NumForm=Digit|NumType=Frac	1	obj	_	_
3	for	for	ADP	IN	_	4	case	_	_
4	pi	pi	NOUN	NN	Number=Sing	1	obl	_	SpaceAfter=No
5	.	.	PUNCT	.	_	1	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **use** | imperative | you *not said here* | 3.14 |  |  |  | for pi | vn use-105.1 «NP V NP PP.predicate»: agent=Agent 3.14=Theme for pi=Eventuality |

## Example 2 {#x2}

<!-- .ven lang=en -->
The circumference is pi times the diameter.

```conllu
# sent_id = dict:school:pi:x2:1
# text = The circumference is pi times the diameter.
1	The	the	DET	DT	Definite=Def|PronType=Art	2	det	_	_
2	circumference	circumference	NOUN	NN	Number=Sing	5	nsubj	_	_
3	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	5	cop	_	_
4	pi	pi	NOUN	NN	Number=Sing	5	compound	_	_
5	times	time	NOUN	NNS	Number=Plur	0	root	_	_
6	the	the	DET	DT	Definite=Def|PronType=Art	7	det	_	_
7	diameter	diameter	NOUN	NN	Number=Sing	5	nmod:unmarked	_	SpaceAfter=No
8	.	.	PUNCT	.	_	5	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | present | the circumference | pi times |  |  |  | the diameter *nmod:unmarked* | tree rules |

## Example 3 {#x3}

<!-- .ven lang=en -->
Area of a circle is pi times the radius times the radius.

```conllu
# sent_id = dict:school:pi:x3:1
# text = Area of a circle is pi times the radius times the radius.
1	Area	area	NOUN	NN	Number=Sing	7	nsubj	_	_
2	of	of	ADP	IN	_	4	case	_	_
3	a	a	DET	DT	Definite=Ind|PronType=Art	4	det	_	_
4	circle	circle	NOUN	NN	Number=Sing	1	nmod	_	_
5	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	7	cop	_	_
6	pi	pi	NOUN	NN	Number=Sing	7	compound	_	_
7	times	time	NOUN	NNS	Number=Plur	0	root	_	_
8	the	the	DET	DT	Definite=Def|PronType=Art	10	det	_	_
9	radius	radius	NOUN	NN	Number=Sing	10	compound	_	_
10	times	time	NOUN	NNS	Number=Plur	7	conj	_	_
11	the	the	DET	DT	Definite=Def|PronType=Art	12	det	_	_
12	radius	radius	NOUN	NN	Number=Sing	10	nmod:unmarked	_	SpaceAfter=No
13	.	.	PUNCT	.	_	7	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | present | Area of a circle | pi times and the radius times  the radius |  |  |  |  | tree rules |

## Example 4 {#x4}

<!-- .ven lang=en -->
The symbol for pi is π.

```conllu
# sent_id = dict:school:pi:x4:1
# text = The symbol for pi is π.
1	The	the	DET	DT	Definite=Def|PronType=Art	2	det	_	_
2	symbol	symbol	NOUN	NN	Number=Sing	6	nsubj	_	_
3	for	for	ADP	IN	_	4	case	_	_
4	pi	pi	NOUN	NN	Number=Sing	2	nmod	_	_
5	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	6	cop	_	_
6	π	π	NOUN	NN	Number=Sing	0	root	_	SpaceAfter=No
7	.	.	PUNCT	.	_	6	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is a** | present | the symbol for pi | π |  |  |  |  | tree rules |

## Example 5 {#x5}

<!-- .ven lang=en -->
The digits of pi go on forever: 3.14159…

```conllu
# sent_id = dict:school:pi:x5:1
# text = The digits of pi go on forever: 3.14159…
1	The	the	DET	DT	Definite=Def|PronType=Art	2	det	_	_
2	digits	digit	NOUN	NNS	Number=Plur	5	nsubj	_	_
3	of	of	ADP	IN	_	4	case	_	_
4	pi	pi	NOUN	NN	Number=Sing	2	nmod	_	_
5	go	go	VERB	VBP	Mood=Ind|Number=Plur|Person=3|Tense=Pres|VerbForm=Fin	0	root	_	_
6	on	on	ADV	RB	_	5	advmod	_	_
7	forever	forever	ADV	RB	_	5	advmod	_	SpaceAfter=No
8	:	:	PUNCT	:	_	9	punct	_	_
9	3.14159	3.14159	NUM	CD	NumForm=Digit|NumType=Card	5	obl	_	SpaceAfter=No
10	…	.	PUNCT	.	_	5	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **go on** | present | the digits of pi | 3.14159 |  |  |  | forever *property* | vn function-105.2.1 «NP V»: agent=Theme |

## Example 6 {#x6}

<!-- .ven lang=en -->
A wheel 1 meter across moves about 3.14 meters in one turn.

```conllu
# sent_id = dict:school:pi:x6:1
# text = A wheel 1 meter across moves about 3.14 meters in one turn.
1	A	a	DET	DT	Definite=Ind|PronType=Art	4	det	_	_
2	wheel	wheel	NOUN	NN	Number=Sing	4	compound	_	_
3	1	1	NUM	CD	NumForm=Digit|NumType=Card	2	flat	_	_
4	meter	meter	NOUN	NN	Number=Sing	0	root	_	_
5	across	across	ADP	IN	_	6	case	_	_
6	moves	move	NOUN	NNS	Number=Plur	4	nmod	_	_
7	about	about	ADP	IN	_	9	case	_	_
8	3.14	3.14	NUM	CD	NumForm=Digit|NumType=Card	9	nummod	_	_
9	meters	meter	NOUN	NNS	Number=Plur	6	nmod	_	_
10	in	in	ADP	IN	_	12	case	_	_
11	one	one	NUM	CD	NumForm=Word|NumType=Card	12	nummod	_	_
12	turn	turn	NOUN	NN	Number=Sing	9	nmod	_	SpaceAfter=No
13	.	.	PUNCT	.	_	4	punct	_	_
```

<!-- .note -->
The frames reader finds no event or fact in this sentence.

## Example 7 {#x7}

<!-- .ven lang=en -->
Some people can remember a hundred digits of pi.

```conllu
# sent_id = dict:school:pi:x7:1
# text = Some people can remember a hundred digits of pi.
1	Some	some	DET	DT	PronType=Ind	2	det	_	_
2	people	people	NOUN	NNS	Number=Plur	4	nsubj	_	_
3	can	can	AUX	MD	VerbForm=Fin	4	aux	_	_
4	remember	remember	VERB	VB	VerbForm=Inf	0	root	_	_
5	a	a	DET	DT	Definite=Ind|PronType=Art	6	det	_	_
6	hundred	hundred	NUM	CD	NumForm=Word|NumType=Card	7	nummod	_	_
7	digits	digit	NOUN	NNS	Number=Plur	4	obj	_	_
8	of	of	ADP	IN	_	9	case	_	_
9	pi	pi	NOUN	NN	Number=Sing	7	nmod	_	SpaceAfter=No
10	.	.	PUNCT	.	_	4	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **remember** | can | some people | hundred digits of pi |  |  |  |  | vn characterize-29.2-1-1 «NP V NP S\_ING»: agent=Agent digit=Theme |

## Example 8 {#x8}

<!-- .ven lang=en -->
Our class ate pie on Pi Day.

```conllu
# sent_id = dict:school:pi:x8:1
# text = Our class ate pie on Pi Day.
1	Our	our	PRON	PRP$	Case=Gen|Number=Plur|Person=1|Poss=Yes|PronType=Prs	2	nmod:poss	_	_
2	class	class	NOUN	NN	Number=Sing	3	nsubj	_	_
3	ate	eat	VERB	VBD	Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin	0	root	_	_
4	pie	pie	NOUN	NN	Number=Sing	3	obj	_	_
5	on	on	ADP	IN	_	7	case	_	_
6	Pi	Pi	PROPN	NNP	Number=Sing	7	compound	_	_
7	Day	Day	PROPN	NNP	Number=Sing	3	obl	_	SpaceAfter=No
8	.	.	PUNCT	.	_	3	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **eat** | past | Our class | pie |  |  | on Pi Day |  | vn eat-39.1-1 «NP V NP»: agent=Agent pie=Patient |

## Example 9 {#x9}

<!-- .ven lang=en -->
On he ran, and louder grew the sounds of pipe and drum: pi-pi-pi, pi-pi-pi, pi-pi-pi . . .zum, zum, zum, zum.

<!-- fold The tree, 25 words -->
```conllu
# sent_id = dict:school:pi:x9:1
# text = On he ran, and louder grew the sounds of pipe and drum: pi-pi-pi, pi-pi-pi, pi-pi-pi . . .zum, zum, zum, zum.
1	On	on	SCONJ	IN	_	3	mark	_	_
2	he	he	PRON	PRP	Case=Nom|Gender=Masc|Number=Sing|Person=3|PronType=Prs	3	nsubj	_	_
3	ran	run	VERB	VBD	Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin	0	root	_	SpaceAfter=No
4	,	,	PUNCT	,	_	7	punct	_	_
5	and	and	CCONJ	CC	_	7	cc	_	_
6	louder	loud	ADJ	JJR	Degree=Cmp	7	nsubj	_	_
7	grew	grow	VERB	VBD	Mood=Ind|Number=Sing|Person=3|Tense=Past|VerbForm=Fin	3	conj	_	_
8	the	the	DET	DT	Definite=Def|PronType=Art	9	det	_	_
9	sounds	sound	NOUN	NNS	Number=Plur	7	obj	_	_
10	of	of	ADP	IN	_	11	case	_	_
11	pipe	pipe	NOUN	NN	Number=Sing	9	nmod	_	_
12	and	and	CCONJ	CC	_	13	cc	_	_
13	drum	drum	NOUN	NN	Number=Sing	11	conj	_	SpaceAfter=No
14	:	:	PUNCT	:	_	19	punct	_	_
15	pi	pi	NOUN	NN	Number=Sing	19	nsubj	_	SpaceAfter=No
16	-	-	PUNCT	HYPH	_	15	punct	_	SpaceAfter=No
17	pi	pi	NOUN	NN	Number=Sing	19	compound	_	SpaceAfter=No
18	-	-	PUNCT	HYPH	_	19	punct	_	SpaceAfter=No
19	pi	pi	NOUN	NN	Number=Sing	9	conj	_	SpaceAfter=No
20	,	,	PUNCT	,	_	21	punct	_	_
21	pi	pi	NOUN	NN	Number=Sing	19	appos	_	SpaceAfter=No
22	-	-	PUNCT	HYPH	_	21	punct	_	SpaceAfter=No
23	pi	pi	NOUN	NN	Number=Sing	25	compound	_	SpaceAfter=No
24	-	-	PUNCT	HYPH	_	23	punct	_	SpaceAfter=No
25	pi	pi	NOUN	NN	Number=Sing	19	conj	_	SpaceAfter=No
26	,	,	PUNCT	,	_	31	punct	_	_
27	pi	pi	NOUN	NN	Number=Sing	31	nsubj	_	SpaceAfter=No
28	-	-	PUNCT	HYPH	_	27	punct	_	SpaceAfter=No
29	pi	pi	NOUN	NN	Number=Sing	31	compound	_	SpaceAfter=No
30	-	-	PUNCT	HYPH	_	31	punct	_	SpaceAfter=No
31	pi	pi	NOUN	NN	Number=Sing	19	appos	_	_
32	.	.	PUNCT	.	_	31	punct	_	_
33	.	.	PUNCT	.	_	3	punct	_	_
34	.	.	PUNCT	.	_	35	punct	_	SpaceAfter=No
35	zum	zum	NOUN	NN	Number=Sing	3	obl	_	SpaceAfter=No
36	,	,	PUNCT	,	_	37	punct	_	_
37	zum	zum	NOUN	NN	Number=Sing	35	conj	_	SpaceAfter=No
38	,	,	PUNCT	,	_	39	punct	_	_
39	zum	zum	NOUN	NN	Number=Sing	35	conj	_	SpaceAfter=No
40	,	,	PUNCT	,	_	41	punct	_	_
41	zum	zum	NOUN	NN	Number=Sing	35	conj	_	SpaceAfter=No
42	.	.	PUNCT	.	_	3	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **run** | past | he | zum and zum and zum and zum |  |  |  |  | vn run-51.3.2-2-1 «NP V»: agent=Theme |
| 2 | **grow** | past | louder | the sounds of pipe and drum and pi pi and pi pi |  |  |  |  | vn appear-48.1.1 «PP.location V NP»: agent=Location sound=Theme |
| 3 | **pi** |  | pi |  |  |  |  |  | tree rules |
| 4 | **pi** |  | pi |  |  |  |  |  | tree rules |

<!-- div src -->

**Text:** the school dictionary of Mova's schools (`world/data/dictionary-schools/`), written for Mova. **Trees:** Mova's own parse — the `en` model on the CPU, when the site is built — not checked by a teacher; they may be wrong. **Frames:** Mova's frames reader (`prag`), each meaning and example read on its own. Elamur Cosmic License.

<!-- /div -->

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