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Answer :
To find the area of a circle, we first need to find its radius. We know the circumference [tex]C[/tex] of the circle is given by the formula: [tex]C = 2\pi r[/tex] where [tex]r[/tex] is the radius of the circle. We are given that the circumference of the circle is 62.8 inches.
Find the radius:
Using the circumference formula:
[tex]62.8 = 2\pi r[/tex]To solve for [tex]r[/tex], divide both sides of the equation by [tex]2\pi[/tex]:
[tex]r = \frac{62.8}{2\pi}[/tex]Calculate the exact value:
[tex]r \approx \frac{62.8}{6.28} \approx 10[/tex]So, the radius [tex]r[/tex] is approximately 10 inches.
Find the area:
The area [tex]A[/tex] of a circle is calculated using the formula:
[tex]A = \pi r^2[/tex]Substitute the radius we found into this formula:
[tex]A = \pi (10)^2[/tex][tex]A = 100\pi[/tex]
Calculate the numerical value of [tex]A[/tex]:
[tex]A \approx 314[/tex]Thus, the area of the circle is approximately [tex]314[/tex] square inches.
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Rewritten by : Jeany
