Respuesta :
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,
[tex]\text{Area of the circle}=\pi r^2[/tex]
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,
[tex]\text{Circumference of the circle} = 2\pi r[/tex]
[tex]7 \pi = 2 \pi r\\\\r = 3.5\rm\ m[/tex]
Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,
[tex]\text{Area of the circle}=\pi r^2[/tex]
[tex]= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m[/tex]
Hence, the area of the circle whose circumference is 7π m is 12.25π m².
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