Question

In the following figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Answer 1

It is given that AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of small circle.

It is given that,

So, radius r of small circle is

We know that the area A of circle of radius r is.

Substituting the value of r in above formula,

Now, let the area of large circle be.

Using the value radius OA,

Hence,