Question

Two semicircles are attached to the sides of a rectangle as shown.

What is the area of this figure?

Use 3.14 for pi.

Enter your answer in the box. Round only your final answer to the nearest whole number.

Answer 1

156in²

Explanation:

The area is calculated by finding the area of each shape forming the entire figure.

starting with the rectangle, area=length×width

=14 in× 5 in

=70in²

the area of the bigger semicircle= 1/2πr²

=1/2×3.14×7in×7in

=76.63in²

the area of the smaller semicircle=1/2πr²

=1/2×3.14×2.5in×2.5in

=9.8125 in²

we then add the areas of the the three constituent shapes of the figure.

70in²+76.63in²+9.8125in²=156.44in²