Question

In Fig. 4, OABC is a square inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of shaded region [Use π = 3.14]

Answer 1

It is given that OABC is a square in the quadrant OPBQ.OA is 20 cm.

We have to find the area of the shaded region.

OABC is a square , therefore sides of the OABC must be equal

Hence OA, AB, BC, OC = 20 cm.

Join the points O and B to form a line segment OB.

Since OB is the diagonal of OABC, is a right angled triangle.

Applying Pythagoras Theorem in

It can be seen from the figure that Quadrant OPBQ is of a circle with radius OB( r )

Therefore area of OPBQ

Now, area of the shaded region