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gulaghasi [49]
3 years ago
9

The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

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

Answer:

64\pi

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

We have the circumference, but we need the radius. Circumference can be found using:

c=2\pi r

We know the circumference is 16\pi, so we can substitute that in for c

16\pi =2\pi r

We need to solve for r, or the radius. To do this, divide both sides by 2\pi. This will get r by itself.

16\pi /2\pi =2\pi r/2\pi  

8=r

Now we know the radius, and can substitute it into the area formula

a=\pi r^2

Substitute 8 in for r

a=\pi 8^2

a=64\pi

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is 64\pi

zepelin [54]3 years ago
4 0

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

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<h3>What is hypotenuse?</h3>

The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

<h3>According to the information:</h3>

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Sineα = opposite/hypotenuse

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brainly.com/question/8587612

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