The circumference of a circle is 50.24 centimeters. How do you find the area of the circle?

Answer 1

From the circumference you can determine the radius. Once you have the radius, you calculate the area as #pir^2#
The answer will be #A=201cm^2#

If the circumference is 50.24, the radius must be #r=50.24/(2pi)#, because the circumference is always equal to #2pir#.
So, #r=50.24/(2pi) = 8.0 cm#
Since the area is #A=pir^2#, we obtain #A=pi(8^2)= 201cm^2#
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Answer 2

To find the area of a circle when given the circumference, you can use the formula:

[A = \frac{C^2}{4\pi}]

Where:

  • (A) is the area of the circle.
  • (C) is the circumference of the circle.
  • (\pi) is a mathematical constant approximately equal to 3.14159.

Given the circumference (C = 50.24) centimeters, plug this value into the formula:

[A = \frac{(50.24)^2}{4\pi}]

[A \approx \frac{2524.2176}{4\pi}]

[A \approx \frac{2524.2176}{12.5664}]

[A \approx 201.0619]

So, the area of the circle is approximately (201.0619) square centimeters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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