Question

In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 2$\sqrt{5}$, find the area of the rectangle.

Answer 1

Given: Here from the given figure we get

(1) OCDE is a rectangle inscribed in a quadrant of a circle with radius 10cm,

(2) OE = 2√5cm

To find: Area of rectangle OCDE.

Calculation:

In right triangle ΔODE use Pythagoras Theorem

We know that,

Hence we get the result as area of Rectangle OCDE =