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marshall27 [118]
2 years ago
11

The area of a quarter circle is 38.465 square inches. What is the quarter circle's radius?

Mathematics
1 answer:
LuckyWell [14K]2 years ago
3 0

The formula for a circle's area is A=\pi r^2. We are given an area of 38.465 square inches for a quarter of it.

Multiply this value by 4 to compensate for the quarter circle.

4 \times 38.465=\pi r^2

153.86=\pi r^2

Divide both sides by pi (Note: I'm using the conventional value of 3.14)

49=r^2

Take the positive square root of both sides

7=r

The radius is 7 inches. Let me know if you have any questions, thanks!

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