Circumference of a circle is given by the formula
C = 2π r
where r is the radius
From the question given C = 10π
substitute and solve for r
10π = 2πr
Divide both-side by 2π
r= 5 inches
Diameter = 2r = 2(5) = 10 inches
Fomula for finding the area is given by:
Area of circle= πr²
= π (5)²
= 25π
To find the exact value, substitute the value of π=22/7
Area of the circle = 25 x 22/7
≈ 78.57 square inches