A sphere has a circumference of 28 in. Use the circumference to find the surface area of the sphere to the nearest inch. (1 point)
The formula for the circumference of a sphere is given by:
C = 2πr, where C is the circumference and r is the radius of the sphere.
Given that the circumference of the sphere is 28 in, we can solve for the radius (r):
28 = 2πr
r = 28/(2π)
r ≈ 4.45 in
The formula for the surface area of a sphere is given by:
A = 4πr^2
Plugging in the value of r, we get:
A = 4π(4.45)^2
A = 4π(19.8025)
A ≈ 78.81 in^2
Therefore, the surface area of the sphere is approximately 78.81 square inches.