The circumference of a circle is 17π ft. What is the area, in square feet? Express your answer in terms of piπ
The circumference of a circle is defined as 2πr, where r is the radius of the circle. In this case, the circumference is equal to 17π, so 2πr = 17π.
Divide both sides by 2π:
r = 17/2 = 8.5 ft
The area of a circle is defined as πr^2. Plugging in the radius we found:
Area = π(8.5)^2 = 72.25π square feet
Therefore, the area of the circle is 72.25π square feet.
wrong
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Given that the circumference of the circle is 17π ft, we can use the formula for circumference to find the radius:
2πr = 17π
r = 17π / (2π)
r = 8.5 ft
Now, the area of a circle is given by the formula A = πr^2:
A = π(8.5)^2
A = π(72.25)
A = 72.25π
Therefore, the area of the circle is 72.25π square feet.
The circumference of a circle is 12π m. What is the area, in square meters? Express your answer in terms of piπ
Given that the circumference of the circle is 12π m, we can use the formula for circumference to find the radius:
2πr = 12π
r = 12π / 2π
r = 6 m
Now, the area of a circle is given by the formula A = πr^2:
A = π(6)^2
A = π(36)
A = 36π
Therefore, the area of the circle is 36π square meters.