Question

The area of a circle is 2,826 square centimeters. What is its diameter?

Answer 1

Formula to find the area of circle is:

a=πr² Where a= area and r= radius of the circle.

Given area: a=2,826 square centimeters.

So, plug in a=2,826 in the above equation to get r.

2826=πr²

$\frac{2826}{\pi} = \frac{\pir^{2}}{\pi}$ Dividing each sides by π.

$\frac{2826}{3.14} =r^{2}$ Since π=3.14

900=r²

√900=r

r=30

Since the diamter is twice the radius.

Hence, diameter= 2*30= 60.

So, the diameter of the circle is 60 centimeters.

900=