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# help

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How many square units are in the area of the largest square that can be inscribed in a circle with radius 1 unit?

Apr 8, 2022

### 1+0 Answers

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The length of the side of the square is a.

$$r^2=2\cdot (\frac{a}{2})^2\\ 1=2\cdot \frac{a^2}{4}\\ a=\sqrt{2}\\ A=a^2$$

$$A=2$$

The area of the largest square

that can be inscribed in a circle with radius 1 is 2 square units.

!

Apr 8, 2022