Please help me in number 20 please I need it ASAP

Question

asked Sep 13, 2020 212k views

1 Answer

Adinda · Answer 1 · 2020-09-17T14:35:22+0000

Answer:

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

Explanation:

Given:

The area 'A' of a circle with radius equal to 'r' is given as:

$A=\pi r^2$

In order to rewrite the given formula in terms of radius 'r', we need to isolate 'r'.

Dividing both sides by π, we get:

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

As
$(\pi)/(\pi)=1$ , the above equation becomes:

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

Taking square root both the sides, we get:

$√(r^2)=\sqrt{(A)/(\pi)}\\r=\sqrt{(A)/(\pi)}$

We neglect the negative result while taking square root as the radius can't be a negative number.

Thus, the formula for radius 'r' in terms of area 'A' is given as:

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