What is the surface area of a sphere with a circumference of 40ft? Round the answer to the nearest tenth

Question

A. 6.4 ft^2

B. 509.3 ft^2

C. 254.6 ft^2

D. 40.5 ft^2

Answer 1

B. 509.3 ft^2

The formula for the surface area of a sphere is 4πr^2, where r is the radius of the sphere.

Given that the circumference of the sphere is 40ft, we can find the radius by dividing the circumference by 2π.
Radius = Circumference / (2π) = 40ft / (2π) ≈ 6.37ft

Now, we can calculate the surface area of the sphere:
Surface Area = 4π(6.37)^2 ≈ 509.3 ft^2

Therefore, the correct answer is B. 509.3 ft^2.