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He radius of a circle is 4.7 inches. Find the circumference and area of the circle. Use π = 3.14. Round to the nearest hundredth.

plz show your work/thank you

User Nef
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2 Answers

3 votes

Answer:

C ≈ 29.52 in

A ≈ 69.36 in²

Explanation:

The formula of a circumference of a circle:


C=2\pi r

r - radius

The formula of an area of a circle:


A=\pi r^2

We have r = 4.7 in.

Substitute:


C=2\pi(4.7)=9.4\pi\ in


\pi\approx3.14\to C\approx(9.4)(3.14)=29.516\ in\approx29.52\ in


A=\pi(4.7)^2=22.09\pi\ in^2


\pi\approx3.14\to A\approx(22.09)(3.14)=69.3626\ in^2\approx69.36\ in^2

User Eemilk
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5.1k points
4 votes

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.


Area = \pi r^(2)

Since the radius of the circle is 4.7 inches, we can plug 4.7 in for the radius in our formula.


Area = (\pi) (4.7 in.)^(2)

Remember that 4.7 in.² is equal to 4.7 inches × 4.7 inches or 22.09 in.².


Area = 22.09\pi in.^(2)

Now, remember that pi is approximately equal to 22/7 or 3.14. This means that we can estimate the area of the circle by plugging in 3.14 for pi.


Area = (22.09) (3.14)

Area = 69.36 in.²

Now, let's find the circumference of the circle. To find the circumference of a circle, start with the formula for the circumference.

Circumference = 2πr

Notice that our radius is 4.7 inches which means we can plug in 4.7 inches for the radius in our formula.

Circumference = (2) (π) (4.7 in)

Circumference = 9.4π inches

User Mrc
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