Answer:
(a) 64
(b) 50.265 m
(c) 13.735
Step-by-step explanation:
Since the circle is inscribed in the square, the diameter of the circle is the same as the length of each side of the square
The radius of the circle r = 4 mi.
Diameter = 2r = 2 x 4 = 8 mi
Side of square a = 8 mi
(a) Area of square = a² = 8² = 64 mi²
(b) Area of circle = πr² = π · 4² = 16π = 50.265 mi²
(c) Area of shaded section = Area of square - Area of circle
= 64 - 50.265
= 13.735 mi²
