A circle is the set of all points in the plane that are a fixed distance from a fixed point also known as the center.
While area of circle is the space occupied by the circle in a two-dimensional plane circumference is the distance around a circle.
Formula to calculate area of a circle from perimeter.
Since we know the formula to calculate the circumference, this makes it easy to find the radius of the circle and in turn find its area.
π stands for pi
r is the radius of the circle.
When we make radius the subject we get;
Once you have the radius you use the formula below to find area of the circle.
Example:
Calculate the area of a circle whose circumference is 154 cm.
Therefore, the radius is 24.5 cm.
We proceed to find the area of the circle.
Therefore, the area of the circle is 1886.5 cm².