Question

Which represents r in terms of A and S?

Answer 1

`r=(6√(10AS))/(S√(\pi ))`

Explanation:

Given the formula;

`A=(\pi r^2S)/(360)`

We want to solve the given formula for r.

Multiply both sides by
`(360)/(\pi S)`

`A* (360)/(\pi S)=(\pi r^2S)/(360) * (360)/(\pi S)`

`A* (360)/(\pi S)=r^2`

Take square root of both sides

`r=\sqrt{(360A)/(\pi S)}`

`r=(√(360A))/(√(\pi S))`

`r=(√(360A))/(√(\pi )√(S))`

`r=(√(360A)* √(S))/(√(\pi )√(S) * √(S))`

`r=(√(360AS))/(S√(\pi ))`

`r=(6√(10AS))/(S√(\pi ))`