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The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi

Sagot :

Leora03

Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

  • Circumference of circle= πD= 2πr
  • Area of circle= πr²

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

[tex]r = \frac{13}{2} [/tex]

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

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