Question

Please help me in number 20 please I need it ASAP

Answer 1

Answer:

$r=\sqrt{\frac{A}{\pi}}$

Step-by-step 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:

$\frac{A}{\pi}=\frac{\pi r^2}{\pi}$

As $\frac{\pi}{\pi}=1$, the above equation becomes:

$r^2=\frac{A}{\pi}$

Taking square root both the sides, we get:

$\sqrt{r^2}=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{A}{\pi}}$

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:

$r=\sqrt{\frac{A}{\pi}}$