3 years ago

How do I find the diameter and circumference when given the area?

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

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

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