Which represents r in terms of A and S?

Question

asked Oct 16, 2020 92.3k views

1 Answer

Eav · Answer 1 · 2020-10-20T15:30:43+0000

Answer:

$r=(6√(10AS))/(S√(\pi ))$

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

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

$r=(√(360A))/(√(\pi S))$

$r=(√(360A))/(√(\pi )√(S))$

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

$r=(√(360AS))/(S√(\pi ))$

$r=(6√(10AS))/(S√(\pi ))$