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If the circumference of a circle is 221cm find the area of the circle​

User KateMak
by
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2 Answers

4 votes

Answer:

first find the radius of the circle r^2=221/22/7 then find the area

User Chahuistle
by
8.4k points
4 votes

Answer:

3885.93 cm² or 3886.64 cm²

Explanation:

Hello!

Circumference of a Circle:
C = 2\pi r

We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".

Find the Radius


  • C = 2\pi r

  • 221 = 2\pi r

  • 110.5 = \pi r

  • 35.1732424233 = r

  • r \approx 35.17

Area of a Circle:
A = \pi r^2

Now that we have the radius, we can use it to find the area using the area formula.

Find the Area


  • A = \pi r^2

  • A = \pi (35.17)^2

  • A = \pi(1,236.9289)

  • A = 3,885.9267452529

  • A \approx 3,885.93

The area is approximately 3885.93 cm².

If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.

User Ankit Adlakha
by
8.1k points

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