Carcass wrote:
A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?
(A) \(23π - 31\)
(B) \(36π - 72\)
(C) \(63π - 42\)
(D) \(24π - 16\)
(E) \(30π - 62\)
Area of shaded region = (area of circle) - (area of square)Since we're told the circle has radius 6, the area of the circle = (pi)(radius²) = (pi)(6²) = 36pi
So we get:
area of shaded region = (36pi) - (area of square)Since the area of the square will not involve pi, we can conclude that the final answer will be in the form
(36pi) - some valueSo, the correct answer must be B
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Brent Hanneson - founder of Greenlight Test Prep