A square with an area of 36 cm is inscribed in a circle. Find the radius of the circle.
| April 12, 2021 | education
The radius of a circle around a square is half the diagonal of the square.
Find the side of the square, it is equal to the square root of the area value.
a = √36 cm² = 6 cm.
Find the diagonal of the square by the Pythagorean theorem.
d = √ ((6 cm) ² + (6 cm) ²) = √72 cm² = 8.48 cm.
r = 8.48 cm ÷ 2 = 4.24 cm.
Answer: The radius of the circle is 4.24 cm.
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