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Simplifying
25.748 = 2 * 3.14r2 + 2 * 3.14 * 3.1
Multiply 2 * 3.14
25.748 = 6.28r2 + 2 * 3.14 * 3.1
Multiply 2 * 3.14
25.748 = 6.28r2 + 6.28 * 3.1
Multiply 6.28 * 3.1
25.748 = 6.28r2 + 19.468
Reorder the terms:
25.748 = 19.468 + 6.28r2
Solving
25.748 = 19.468 + 6.28r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-6.28r2' to each side of the equation.
25.748 + -6.28r2 = 19.468 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
25.748 + -6.28r2 = 19.468 + 0.00
25.748 + -6.28r2 = 19.468
Add '-25.748' to each side of the equation.
25.748 + -25.748 + -6.28r2 = 19.468 + -25.748
Combine like terms: 25.748 + -25.748 = 0.000
0.000 + -6.28r2 = 19.468 + -25.748
-6.28r2 = 19.468 + -25.748
Combine like terms: 19.468 + -25.748 = -6.28
-6.28r2 = -6.28
Divide each side by '-6.28'.
r2 = 1
Simplifying
r2 = 1
Take the square root of each side:
r = {-1, 1}
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