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The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Step-by-step explanation:
The given is,
Circumference of a circle is 56.52 inches.
Step:1
Formula for circumference of circle is,
........................(1)
Where, r - Radius of circle
From the given,
C = 56.52 inches
Equation (1) becomes,
56.52 = 2 (r)
56.52 = (2) (3.14) (r)
56.52 = 6.28 (r)
r = 9 inches
Step:2
Formula for area of circle,
............................(2)
Where, r - Radius of circle
From the given,
r = 9 inches
Equation (2) becomes,
= (3.14) (81)
= 254.34
Area of circle, A = 254.34 square inches
Result:
The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.