The area (A of a circle with a radius of ris given by the formula A = 772 and its diameter (d) is given by d = 27. Arrange the equations in

the correct sequence to rewrite the formula for diameter in terms of the area of the circle.

d² = 24

d = VZA

A = 41d2

d =

4A

d2

A = πr² ← r is the radius and r = / frac{1}{2} d ← d is the diameter

Hence

π (/frac{1}{2} d) ² = A, that is

/frac{d^2/pi }{4} = A (multiply both sides by 4)

d²π = 4A (divide both sides by π)

d² = / frac{4A}{/pi } (take the square root of both sides)

d = / sqrt{/frac{4A}{/pi } }