4689=3.1415(r)(r)

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Solution for 4689=3.1415(r)(r) equation: 


Simplifying
4689 = 3.1415(r)(r)

Multiply r * r
4689 = 3.1415r2

Solving
4689 = 3.1415r2

Solving for variable 'r'.

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

Add '-3.1415r2' to each side of the equation.
4689 + -3.1415r2 = 3.1415r2 + -3.1415r2

Combine like terms: 3.1415r2 + -3.1415r2 = 0.0000
4689 + -3.1415r2 = 0.0000

Add '-4689' to each side of the equation.
4689 + -4689 + -3.1415r2 = 0.0000 + -4689

Combine like terms: 4689 + -4689 = 0
0 + -3.1415r2 = 0.0000 + -4689
-3.1415r2 = 0.0000 + -4689

Combine like terms: 0.0000 + -4689 = -4689
-3.1415r2 = -4689

Divide each side by '-3.1415'.
r2 = 1492.599077

Simplifying
r2 = 1492.599077

Take the square root of each side:
r = {-38.634169811, 38.634169811}

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