Question

If circumference and the area of a circle are numerically equal, find the diameter of the circle.

Answer 1

Answer:

d = 4

Step-by-step explanation:

C = 2*pi r or C = pi * d

Area = pi *r^2= pi (d/2)^2 = pi * d^2  /4

So if they are numerically equal, you get

pi * d = pi * d^2 / 4           Divide both sides by pi

d = d^2 / 4                        Multiply both sides by 4

4*d = d^2                          Divide both sides by d

4 = d