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MATH / The larger circle has center O and passes through D. The smaller circle has diameter OD. What percent of the larger circle's area is gray? [asy]import graph; draw(Circle((0,0),30),…

Problem

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

problem

The larger circle has center OO and passes through DD. The smaller circle has diameter ODOD. What percent of the larger circle's area is gray? [asy]import graph; draw(Circle((0,0),30),black); fill(Circle((0,-15),15),gray(.6)); draw(Circle((0,-15),15),black); draw((0,0)--(0,-30),black); label("O",(0,0),N); label("D",(0,-30),S); [/asy]
Plain-text mathematical notation (without MathML)
The larger circle has center O and passes through D. The smaller circle has diameter OD. What percent of the larger circle's area is gray?

[asy]import graph;
draw(Circle((0,0),30),black);
fill(Circle((0,-15),15),gray(.6));
draw(Circle((0,-15),15),black);
draw((0,0)--(0,-30),black);
label("O",(0,0),N);
label("D",(0,-30),S);
[/asy]
Original LaTeX notation
The larger circle has center $O$ and passes through $D$. The smaller circle has diameter $OD$. What percent of the larger circle's area is gray?

[asy]import graph;
draw(Circle((0,0),30),black);
fill(Circle((0,-15),15),gray(.6));
draw(Circle((0,-15),15),black);
draw((0,0)--(0,-30),black);
label("O",(0,0),N);
label("D",(0,-30),S);
[/asy]

level

Level 4

type

Prealgebra

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Source and history

task_id
9ba302e1-27c4-5672-9c8c-8d11dc6f84c6
task_key
prealgebra--test--9ba302e1-27c4-5672-9c8c-8d11dc6f84c6
task_revision_id
1
config / split
prealgebra / test

Official source

initial import