Question

What is the approximate surface area of the sphere c=37.68?

Answer 1

`A = 4 \pi R x^(2)`
The question does not give you the radius so we have to get it from circumference
Circumference =
`\pi` (diameter)
Divide each side by
`\pi` : Diameter =
`(C)/( \pi )`
Radius = 1/2 diameter :
`R = (C)/(2 \pi )`
Area =
`4 \pi R^(2)`

`4 \pi ( (C)/(2 \pi ))^(2) = 4 \pi ((C) ^(2) )/(4 \pi ^(2) )`
Divide top & bottom by
`4 \pi` : A=
`((C) ^(2) )/( \pi )`
Circumference = 37.68 units


`Area = ((37.68)^(2) square units)/( \pi ) = 451.93 square units`


451.93 square units