Question

The area (a=pir^2) of a circle with a radius of r is given by the formula and its diameter is given by (d= 2r) arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.

A=pi(d/2)^2
d^2=2A/pi
d=sqrt2A/pi
A=4pid^2
d=sqrt4A/pi
d^2=4A/pi
A=pid^2/4
4A=pid^2

Answer 1

A = pi r^2
d = 2r

r= d/2

A = pi (d/2)^2

A = pi d^2/4

4A = pi d^2

d^2 = 4A/pi

d = sqrt(4A/pi)

d = 2 sqrt(A/pi)