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Troyanec [42]
3 years ago
6

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

Mathematics
2 answers:
TiliK225 [7]3 years ago
4 0

Answer:

i) r= \sqrt{\frac{A}{\pi} }

ii) r=4.15 centimeters

Step-by-step 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;

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

Take positive square root of both sides;

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

When we substitute;

A=54cm^2

and

\pi=\frac{22}{7}

We obtain;

r=\sqrt{\frac{54}{\frac{22}{7} }}

r=\sqrt{54\times \frac{7}{22}}

r=\sqrt{17.18}

r=4.15 centimeters

babunello [35]3 years ago
3 0

Answer:

Part 1: r = √(A/π)

Part 2: 4.15 cm

Step-by-step 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)

<u>Part 2</u>

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

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Rewrite the length as an improper fraction.

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