Question

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m square. Val says the area is 1,005.48m squared. Find the area enclosed by the figure. Use 3.14 for our. What error might Val have made?

Answer 1

The area enclosed by the figure is 4533.48 square meters.

Step-by-step explanation:

Side length of the square = 42m

The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.

Radius of the semicircle = 21m

Area of the square = 42 x 42 = 1764 square meters

Area of 1 semicircle = π(21 x 21) /2

= (3.14) (441) /2

= 1384.74/2

= 692.37 square meters

Area of 4 semicircle = 4 x 692.37

= 2769.48 square meters

Total area = 1764 + 2769.48

= 4533.48 square meters

The area enclosed by the figure is 4533.48 square meters.