Answer:
- 42.25π or 132.73 square inches
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Use the area formula:
- A = πr², where A is the area and r is the radius.
We are given the circumference of the circle, which is C = 2πr.
So, we can set up an equation:
- 2πr = 13π ⇒
- r = 6.5 inches
Now, we can plug this value of r into the area formula:
- A = π(6.5)² = 42.25π
- A = 132.73 square inches (rounded to two decimal places)
Therefore, the area of the circle is 42.25π or 132.73 square inches.