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Find the circumference of a circle whose area is 154 m2.m^2.m2.​​
Question

Find the circumference of a circle whose area is 154 m2.m^2.​​

A.

44 m

B.

29.5 m

C.

39 m

D.

52 m

Correct option is A

Given:
Area of circle = 154 m2m^2​​
Formula Used:
Area of circle = πr2\pi r^2​​
Circumference of circle = 2πr2\pi r​​
Solution:
Area of circle = πr2\pi r^2​​
154=πr2154=227×r2r= 154×722r=7cm154 = \pi r^2\\154 = \frac{22}{7}\times r^2\\r=\ \sqrt{\frac{154\times7}{22}}\\r = 7 cm\\​​
Circumference of the circle = 2×227×72\times\frac{22}{7}\times7​ = 44 cm

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