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The circumference of a circle: C = 2(pi)r
The area of a circle: A = (pi) r^2
C = 25.12 cm
2(pi)r = 25.12 cm
r = 25.12/[2(pi)]
r = 12.56/pi
r^2 = 157.7536/pi^2 So,
A = (pi)r^2
A = (pi)(157.7536/pi^2)
A = 157.7536/pi
A = 50.22 cm^2 (approximately)
Wiki User
∙ 15y ago
The formula to find the area of a circle is A = πr^2, where r is the radius. Given the circumference (C) as 25.12 cm, we can find the radius (r) using the formula r = C / (2π) = 25.12 / (2π) ≈ 3.999 cm. Plugging this radius into the area formula, we get A = π(3.999)^2 ≈ 50.27 cm^2.
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