A circle is inscribed in a square with a side of 6 cm. Find the area of the circle.
| February 23, 2021 | education
A square is a quadrangle in which all its sides and angles (straight lines – 90 ° each) are equal. The radius of a circle inscribed in a square is equal to half the length of the side of this square, that is, R = 6: 2 = 3 cm.
We find the area of a circle using the following formula: S = π x R², where S is the area of the circle; π is the number pi (3.14); R is the radius of the circle.
S = 3.14 x 3² = 3.14 x 9 = 28.26 cm².
Answer: 28.26 cm².
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