55.3896=3.14*r^2

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Solution for 55.3896=3.14*r^2 equation:


Simplifying
55.3896 = 3.14r2

Solving
55.3896 = 3.14r2

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3.14r2' to each side of the equation.
55.3896 + -3.14r2 = 3.14r2 + -3.14r2

Combine like terms: 3.14r2 + -3.14r2 = 0.00
55.3896 + -3.14r2 = 0.00

Add '-55.3896' to each side of the equation.
55.3896 + -55.3896 + -3.14r2 = 0.00 + -55.3896

Combine like terms: 55.3896 + -55.3896 = 0.0000
0.0000 + -3.14r2 = 0.00 + -55.3896
-3.14r2 = 0.00 + -55.3896

Combine like terms: 0.00 + -55.3896 = -55.3896
-3.14r2 = -55.3896

Divide each side by '-3.14'.
r2 = 17.64

Simplifying
r2 = 17.64

Take the square root of each side:
r = {-4.2, 4.2}

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