A= 4 π r ^2 make r the subject

Question

asked Sep 5, 2023 125k views

1 Answer

Hentold · Answer 1 · 2023-09-09T21:33:25+0000

Hello !

Answer:

$\boxed{\sf r = \sqrt{(A)/(4\pi)}}$

Explanation:

We will isolate r and express it in terms of A, 4, and π.

$\\$

Given equality:

$\sf A = 4\pi r^2$

$\\$

Divide both sides of the equality by 4π.

$\sf (A)/(4\pi) = (4 \pi r^2)/(4\pi) \\ \\ \sf (A)/(4 \pi) = r^2$

Take the square root.

$\sf \sqrt{(A)/(4\pi)}= √(r^2) \\ \\ \implies \boxed{\sf r = \sqrt{(A)/(4\pi)}}$

Have a nice day ;)