Question

A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.

Answer 1

941.33 in^2.

Explanation:

The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.

The radius = 1/2 * 26 = 13 in.

Total area = area of square + area of semicirccle

= 26^2 + 1/2 * 3.14 * 13^2

= 676 + 265.33

= 941.33 in^2.