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Simplifying
1270.444 = 2(3.14) * r2 + 2(3.14) * r2(21.9)
Multiply 2 * 3.14
1270.444 = 6.28r2 + 2(3.14) * r2(21.9)
Reorder the terms for easier multiplication:
1270.444 = 6.28r2 + 2 * 3.14 * 21.9r2
Multiply 2 * 3.14
1270.444 = 6.28r2 + 6.28 * 21.9r2
Multiply 6.28 * 21.9
1270.444 = 6.28r2 + 137.532r2
Combine like terms: 6.28r2 + 137.532r2 = 143.812r2
1270.444 = 143.812r2
Solving
1270.444 = 143.812r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-143.812r2' to each side of the equation.
1270.444 + -143.812r2 = 143.812r2 + -143.812r2
Combine like terms: 143.812r2 + -143.812r2 = 0.000
1270.444 + -143.812r2 = 0.000
Add '-1270.444' to each side of the equation.
1270.444 + -1270.444 + -143.812r2 = 0.000 + -1270.444
Combine like terms: 1270.444 + -1270.444 = 0.000
0.000 + -143.812r2 = 0.000 + -1270.444
-143.812r2 = 0.000 + -1270.444
Combine like terms: 0.000 + -1270.444 = -1270.444
-143.812r2 = -1270.444
Divide each side by '-143.812'.
r2 = 8.834061135
Simplifying
r2 = 8.834061135
Take the square root of each side:
r = {-2.972214853, 2.972214853}
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