If the area of the circle is 13, what is the radius?
Given that the area of a circle is 13 square units.
We need to find the radius.
To find the radius, we will use the formula of the area of a circle.
We know that:
A = r^2 * pi such that A is the area of the circle and r is the radius.
Now we will substitute with the values of the area.
==> 13 = r^2 * pi
We know that pi = 22/7 or 3.14
==> 13 = r^2 * 22/7
Now we will multiply by 7/22 both sides.
==> r^2 = 13*7/22 = 4.14 ( approx.)
Now we will take the square root of both sides.
==> r = 2.03
Then, the radius of the circle whose area is 13 is r = 2.03 units.
The area of a circle with radius r is given by pi * r^2.
Now the area of the circle is given as 13
The radius is sqrt [13/ pi]
= 2.03 ( approximately)
The required radius is 2.03