UKMT - Senior Mathematical Challenge - 2022 - 20 | Exact Science

20

A square is inscribed inside a quadrant of a circle. The circle has a radius of 10. What is the area of the square?

A. 25√2 B. 36 C. 12π D. 40 E. 30√2

Answer

D

SOLUTIOn

By solving for the side of the square inscribed in the quadrant of the circle, the area is found to be 40.

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