Question

The figure shows a rectangle inscribed in a circle that has a diameter of 10 feet. 6 ft D 10 ft 8 ft Which measurement is closest to the area of the shaded portion of the figure in square feet? 314 ft² 78.5 ft² 266 ft² 30.5 ft²​

Answer 1

D. 30.5 ft²

Explanation:

we see that this is the area of the circle minus the area of the inscribed rectangle.

the radius of the circle is half the diameter : 10/2 = 5 ft.

the area of the circle is

pi×r² = pi×5² = 25pi ft²

the area of the rectangle is

6×8 = 48 ft²

the shaded area is therefore

25pi - 48 = 30.53981634... ft²

so, D is the closest answer.

Answer 2

To find the area of shaded region you do Acircle-Arectangle.

Given the diameter of the circle is 10ft, the radius is 5ft. This means that the area of the circle is 25pi.

the area of the rectangle can be found using length x width. 8x6=48 feet.

To find the areas of shaded region:
25pi-48 which is about 30.5 ft^2