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Simplifying
1300.46 = 2 * 3.14r2 + 2 * 3.14 * 6.2
Multiply 2 * 3.14
1300.46 = 6.28r2 + 2 * 3.14 * 6.2
Multiply 2 * 3.14
1300.46 = 6.28r2 + 6.28 * 6.2
Multiply 6.28 * 6.2
1300.46 = 6.28r2 + 38.936
Reorder the terms:
1300.46 = 38.936 + 6.28r2
Solving
1300.46 = 38.936 + 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.
1300.46 + -6.28r2 = 38.936 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
1300.46 + -6.28r2 = 38.936 + 0.00
1300.46 + -6.28r2 = 38.936
Add '-1300.46' to each side of the equation.
1300.46 + -1300.46 + -6.28r2 = 38.936 + -1300.46
Combine like terms: 1300.46 + -1300.46 = 0.00
0.00 + -6.28r2 = 38.936 + -1300.46
-6.28r2 = 38.936 + -1300.46
Combine like terms: 38.936 + -1300.46 = -1261.524
-6.28r2 = -1261.524
Divide each side by '-6.28'.
r2 = 200.8796178
Simplifying
r2 = 200.8796178
Take the square root of each side:
r = {-14.17320069, 14.17320069}
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