Question

HELP!!! Please help me with this math problem.

Answer 1

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

ii)
`r=4.15` centimeters

Explanation:

The area of a circle is given by;

`A=\pi r^2`

We want to solve for r.

Divide both sides by
`\pi`.

This implies that;

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

Take positive square root of both sides;

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

When we substitute;

`A=54cm^2`

and

`\pi=(22)/(7)`

We obtain;

`r=\sqrt{(54)/((22)/(7) )}`

`r=\sqrt{54* (7)/(22)}`

`r=√(17.18)`

`r=4.15` centimeters

Answer 2

Part 1: r = √(A/π)

Part 2: 4.15 cm

Explanation:

Part 1

The area of a circle is given by;

Area = π r²

A = πr²

dividing both sides by π

r² = A/π

Find the square root on both sides of the equation

r = √(A/π)

Part 2

where π = 22/7 and

r is the radius os the circle

Area = 54 cm²

πr² = 54

22/7 × r² = 54

Multiplying both sides of the equation by 7/22

7/22 × 22/7 ×r² = 54 ×7/22

r² = 189/11

= 17.181818..

r = √17.181818

= 4.145

Answer to the nearest hundredth = 4.15 cm