Solve for c. Put your answer in simplest radical form. Please show all steps!

a= 1/4 π b c^2

±sqrt(4a/ π b)=   c

Step-by-step explanation:

a= 1/4 π b c^2

Multiply each side by 4 to get rid of the fractions

4a= 4*1/4 π b c^2

4a=  π b c^2

Divide each side by pi b to isolate c^2

4a/ π b=  π b c^2 / π b

4a/ π b=   c^2

Take square root of each side

sqrt(4a/ π b)= sqrt(  c^2)

± sqrt(4a/ π b)=   c

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