benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The vertex of the angle below is the center of the circle. Find n if n% of the circle is shaded. Give your answer as a mixed fraction. [asy] unitsize(0.6inch); fill((0,0)--(1,0)..(…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The vertex of the angle below is the center of the circle. Find nn if n%n\% of the circle is shaded. Give your answer as a mixed fraction. [asy] unitsize(0.6inch); fill((0,0)--(1,0)..(rotate(60)*(1,0))..(rotate(120)*(1,0))--cycle,gray(0.6)); draw(Circle((0,0),1)); draw((1,0)--(0,0)--(rotate(120)*(1,0))); label("120∘120^\circ",(0,0),NE); [/asy]
Plain-text mathematical notation (without MathML)
The vertex of the angle below is the center of the circle.  Find n if n% of the circle is shaded.  Give your answer as a mixed fraction.

[asy]
unitsize(0.6inch);
fill((0,0)--(1,0)..(rotate(60)*(1,0))..(rotate(120)*(1,0))--cycle,gray(0.6));
draw(Circle((0,0),1));
draw((1,0)--(0,0)--(rotate(120)*(1,0)));
label("120^(∘)",(0,0),NE);
[/asy]
Original LaTeX notation
The vertex of the angle below is the center of the circle.  Find $n$ if $n\%$ of the circle is shaded.  Give your answer as a mixed fraction.

[asy]
unitsize(0.6inch);
fill((0,0)--(1,0)..(rotate(60)*(1,0))..(rotate(120)*(1,0))--cycle,gray(0.6));
draw(Circle((0,0),1));
draw((1,0)--(0,0)--(rotate(120)*(1,0)));
label("$120^\circ$",(0,0),NE);
[/asy]

level

Level 4

type

Prealgebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
843f3d9e-d93c-5fdd-bda6-387cce03f64d
task_key
prealgebra--test--843f3d9e-d93c-5fdd-bda6-387cce03f64d
task_revision_id
1
config / split
prealgebra / test

Official source

initial import