A circle is a curve sketched out by a point moving in a plane. The area of the circle whose perimeter is 10π units is 78.539 units².
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the circumference of the circle is 10π, therefore, the circumference can be written as,
[tex]\text{Circumference of the circle }= 2\pi r\\10\pi = 2\pi r\\r = 5[/tex]
Now, the area of the circle will be,
[tex]\text{Area of the circle} = \pi r^2 = \pi (5)^2 = 25\pi\rm\ units^2= 78.539\ units^2[/tex]
Hence, the area of the circle whose perimeter is 10π units is 78.539 units².
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