Question

The circumference of a circle is 7π m. What is the area of the circle? ​3. 5π​ m² ​12. 25π​ m² ​14π​ m² ​49π​ m².

Answer 1

Area of the circle is the area covered by that circle. The area of the circle whose circumference is 7π m is 12.25π m².

What is the area of a circle?

The area of the circle is the area covered by that circle. It is given by the formula,

$\text{Area of the circle}=\pi r^2$

where r is the radius of the circle.

As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,

$\text{Circumference of the circle} = 2\pi r$

$7 \pi = 2 \pi r\\\\r = 3.5\rm\ m$

Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,

$\text{Area of the circle}=\pi r^2$

                           $= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m$

Hence, the area of the circle whose circumference is 7π m is 12.25π m².

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