Solve 1256=2*3.14*x*72^circ/360^circ

$$1256=2 \times 3.14 \times x \times \frac{ 72 ^ { \circ } }{ 360 ^ { \circ } }$$

Solve for x

$$x=1000$$

Steps for Solving Linear Equation

Multiply 2 and 3.14 to get 6.28.

$$1256=6.28x\times \frac{72}{360}$$

Reduce the fraction \frac{72}{360} to lowest terms by extracting and canceling out 72.

$$1256=6.28x\times \frac{1}{5}$$

Convert decimal number 6.28 to fraction \frac{628}{100}. Reduce the fraction \frac{628}{100} to lowest terms by extracting and canceling out 4.

$$1256=\frac{157}{25}x\times \frac{1}{5}$$

Multiply \frac{157}{25} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$1256=\frac{157\times 1}{25\times 5}x$$

Do the multiplications in the fraction \frac{157\times 1}{25\times 5}.

$$1256=\frac{157}{125}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{157}{125}x=1256$$

Multiply both sides by \frac{125}{157}, the reciprocal of \frac{157}{125}.

$$x=1256\times \frac{125}{157}$$

Express 1256\times \frac{125}{157} as a single fraction.

$$x=\frac{1256\times 125}{157}$$

Multiply 1256 and 125 to get 157000.

$$x=\frac{157000}{157}$$

Divide 157000 by 157 to get 1000.

$$x=1000$$