What is the radius and circumference of a sphere when its surface area covers 314 square inches taking pi as 3.14 and showing your work?

Answer 1

S.A. = 4 pi r^2

Substituting

314 = 43.14r^2

Algebraically rearrange 100/4]

r^2 = 314 / (4 * 3.14)

r = sqrt[314/(4*3.14)]

r = sqrt[ 100/4]

r = sqrt[25]

r = 5 inches

The circumference of a sphere is a circle.

Hence

C = 2 pi r

C = 23.145

C = 10*3.14

C = 31.4 inches.

Answer 2

Surface area of the sphere: 4*3.14*radius2 = 314 square inches

Divide both sides by 4*3.14 and then square root both sides to find the radius:

Radius = 5 inches

Circumference = 2*3.14*5 = 31.4 inches