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The circumference of a circle is 24π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

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nuhulawal20

Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

What is a circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area and circumference  of a circle is expressed mathematically as;

  • A = πr²
  • C = 2πr

Where A is area, C is circumference, r is radius and π is constant pi.

Given the data in the question;

  • Circumference of the circle C = 24π cm
  • Area A = ?

First, we determine the radius of the circle.

24π cm = 2πr

r = 24π cm / 2π

r = 12cm

Now, we find the area.

A = πr²

A = π × (12cm)²

A = π × 144cm²

A = 144πcm²

Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

Learn more about circles here: brainly.com/question/11952845

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