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rosijanka [135]
4 years ago
12

Henry know that the circumference of a circle is 18 pie inches. What is the area of the circle?

Mathematics
1 answer:
Leto [7]4 years ago
3 0

Answer:

B: 81π inches

Step-by-step explanation:

The formula for the circumference of a circle is C = πd and the formula for the area of a circle is A = πr²

  • The formula for the circumference of a circle can also be written as C = 2πr since the diameter is equal to double the radius (d = 2r)
  • So we need to solve for r since that is the variable we are missing in order to solve for the area

Plugging in our known values to the circumference formula we have:

  • 18π = 2πr
  • Then dividing both sides by 2π we have 9 = r

Now that we have solved for the radius, we can plug in this value to the area formula:

  • A = π(9)² = 81π in
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