Question

Rearrange the formula to calculate the diameter of a circle.

Answer 1

a=1/4pid^2
4a=pid^2
4a/pi=d^2
square both sides to get d
Answer: Square root of 4a over pi equals d.

Answer 2

To find your answer, you want to get everything but the variable "d," the diameter, onto one side of the equal sign, leaving d by itself.

1) Start by multiplying both sides by 4 to get rid of the 4 in the denominator on the right. bringing it to the other side:

`A = (1)/(4) \pi d^(2) \\ 4(A) = 4((1)/(4) \pi d^(2) )\\ 4A = \pi d^(2)`

2) Divide both sides by π to move the π to the other side of the equation (I put the d squared on the left, but you can keep it on the right):

`4A = \pi d^(2) \\ d^(2) = (4A)/( \pi )`

3) Finally, take the square root of both sides to get the value of d:

`d^(2) = (4A)/( \pi ) \\ d = \sqrt{(4A)/( \pi ) }`

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Answer:
`d = \sqrt{(4A)/( \pi ) }`