Question

Solve for the area of the complex figure below. Show your work and explain the steps you used to solve.

Round your answer to the nearest whole number.

Answer 1

There is a square and a half circle.

To find the radius of the circle: 18in - 12in = 6in
Area of a circle = (pi)r^2 = 3.14 (6in)^2 = 3.14 (36in^2) = 113.04in^2
This is an half circle, so we have to divide by 2 the result
56.52in^2 in what we’re looking for.

Area of the square = (12in)^2 = 144in^2

Total area = (144 + 56.52)in^2 = 200.52in^2
Or 201in^2 to the nearest whole number.