Just A Quadrant!

Geometry Level 3

A quarter-circle with radius \(R\) is drawn. Inside it, two semicircles and a circle are drawn as shown in the above figure. If the area of the grey colored region is \[\frac { \pi { R }^{ 2 } }{ X },\] find the value of \(X.\)

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Just A Quadrant!

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.