Math Riddle: Find the Area Of The Square In The Picture

Answer: 36π square units.

Explanation:

As per given information:

Area of Triangle BDC = 48 sqr.units.

We also know the following;

CD = 8.

Let r be the radius of the circle;

Since ABCD is a rectangle;

BC = AD = 2r.

So from the given information we can write;

Area of Triangle = 1/2 b x h

48 = 1/2 (2r x 8);

48 = r x 8;

r = 6.

Area of circle = πr^2 = π6^2 = 36π

Answer = 36π square units.