Question

Find the area of a circle whose circumference is 14π.​

Answer 1

Step-by-step explanation:

A circle’s circumference is pi times greater than its diameter:

C = pi*D

Which means D = C/pi = 14pi/pi = 14 m.

From diameter, we find the area using

A = 1/4 *pi*D^2 = 1/4*22/7*(14)^2 = 154 m^2

Answer 2

$\LARGE\mathfrak{answer}$

Let the radius be r

Given Circumference = 14$\pi$

Circumference = 2$\pi$r

14$\pi$ = 2$\pi$r

Radius = $\Large\frac{14}{2}$

Radius = 7 unit

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Now Area,

Radius = 7cm

Area = $\pi$r²

Area = $\pi$ × 7²

Area = $\Large\frac{22}{7}$ × 7 × 7

Area = $\Large\frac{22}{7}$ × 49

Area = $\large\sf\orange{154cm²}$