Question

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A right triangle is inscribed in a circle as shown. What is the area of the shaded region?
A. 5.04 square centimeters

B. 41.60 square centimeters

C. 77.32 square centimeters

D. 416.44 square centimeters

Answer 1

The correct answer is C

Answer 2

Answer:

77.38 (almost answer C)

Step-by-step explanation:

The area of the circle is πr² = 36π ≈ 113.097

The side length of the "other" right side of the triangle is √(12²-9²) = √63

The area of the triangle is (9√63)/2 ≈ 35.717

So the shaded area is the difference, ie.: 113.097-35.717 = 77.38