What is the surface area of a sphere with a circumference of 40 ft? Round the answer to the nearest tenth.
(1 point)
O 6.4 f?
• 509.3 ft?
• 254.6 ft?
◎ 40.5f2
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere.
We know that the circumference, C, is given by the formula C = 2πr.
By rearranging this formula, we can solve for r:
C = 2πr
r = C/(2π)
r = 40 ft/(2π) ≈ 6.366 ft
Now we can substitute this value of r into the formula for surface area:
A = 4π(6.366 ft)^2
A ≈ 509.3 ft^2
Therefore, the answer is 509.3 ft^2.