The arched interior is comprised of a semi circle and a rectangle the diameter of the semi circle is 24 inches the length of the rectangle is 36 inches what is the area of the arch interior

1090sqr. inches

Step-by-step explanation:

The area of the arched-interior can be calculated by adding the value of the area of the semi circle to that of the rectangle.

The semi-circle has a diameter of 24 inches while the rectangle has a length of 36 inches.

The area of the semi circle is simply: πr^2/2

Since r = d/2, r here is 24/2 = 12

Area of semicircle is thus 22/7 * 12 * 12 * 1/2 = 226.2sqr. inches

The rectangle measures 24 inches by 36 inches. The area here is 24 * 36 = 864 sqr. inches

The total area is thus; 864 + 226.2 = 1090 sqr. inches