Hello from MrBillDoesMath!
Answer:
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 4 sqrt(6Pi)
Discussion:
Given:
Area of circle = Pi r^2
24 = Pi r^2 => (as Pi r^2 is the formula for area of a circle)
24/Pi = r^2 => ( now take the square root of both sides)
r= sqrt(24/Pi)
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 2 PI r = 2Pi (sqrt(24/Pi))
= 2Pi (sqrt(24)/sqrt(Pi) )
= 2Pi (2sqrt(6)/sqrt(Pi) )
= 4 (pi/ sqrt(Pi) ) sqrt(6)
= 4 sqrt(Pi) sqrt(6)
= 4 sqrt(6Pi)
Thank you,
MrB