Question
Download Solution PDFIf the perimeter of circle is 66m which is 3/4th of actual perimeter of the circle. Find the area of circle.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The perimeter (circumference) of the circle is 66 meters, which is 3/4th of the actual perimeter of the circle.
Formula used:
Perimeter (Circumference) of circle = 2πr
Let the actual perimeter of the circle be C, and we know that:
3C/4 = 66
Calculation:
First, find the actual perimeter C by multiplying both sides of the equation by 4/3:
C = 66 × 4/3 = 88 m
Now, use the formula for the perimeter of a circle, C = 2π r, to find the radius:
88 = 2 × 22/7 × r
r = (88 × 7)(2 × 22) = 616/44= 14 m
Now, use the formula for the area of a circle, A = πr2, to find the area:
A = 22/7 × 142
A = 22/7 × 196 = 4312/7 = 616 m2
∴ The area of the circle is 616 m².
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