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castortr0y [4]
3 years ago
7

Rearrange the formula to calculate the diameter of a circle.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

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.
Andrew [12]3 years ago
5 0
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 =  \frac{1}{4}  \pi  d^{2}  \\
4(A) =  4(\frac{1}{4}  \pi  d^{2} )\\
4A =  \pi  d^{2}

2) Divide both sides by π to move the <span>π</span> 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}  \\&#10; d^{2}  = \frac{4A}{ \pi }

3) Finally, take the square root of both sides to get the value of d:
d^{2} = \frac{4A}{ \pi } \\&#10;d =  \sqrt{\frac{4A}{ \pi } }

-----

Answer: d = \sqrt{\frac{4A}{ \pi } }


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