If the circumference of a circle is 176 cm then find the area of the circle?
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If the circumference of a circle is 176 cm then find the area of the circle?
1464 cm2
2264 cm2
2474 cm2
2464 cm2
None of these
Circumference = 2 * pi * r = 176. r = 176 / (2 * 22/7) = 176 * 7 / 44 = 28. Area = pi * r^2 = (22/7) * 28 * 28 = 22 * 4 * 28 = 2464.
Using the circumference formula, we write 176 equals 2 times pi times r, which gives r as 28 cm. Applying the area of a circle formula, we calculate pi times r squared as 22 over 7 times 28 times 28. Multiplying these values yields an area of 2464 cm2.