Solve 185^2-158^2/256^2-163^2*3pi/14

$$\frac { 185 ^ { 2 } - 158 ^ { 2 } } { 256 ^ { 2 } - 163 ^ { 2 } } \times \frac { 3 \pi } { 14 }$$

Evaluate

$$\frac{1323\pi }{25978}\approx 0.159994114$$

Solution Steps

Calculate 185 to the power of 2 and get 34225.

$$\frac{34225-158^{2}}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Calculate 158 to the power of 2 and get 24964.

$$\frac{34225-24964}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Subtract 24964 from 34225 to get 9261.

$$\frac{9261}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Calculate 256 to the power of 2 and get 65536.

$$\frac{9261}{65536-163^{2}}\times \frac{3\pi }{14}$$

Calculate 163 to the power of 2 and get 26569.

$$\frac{9261}{65536-26569}\times \frac{3\pi }{14}$$

Subtract 26569 from 65536 to get 38967.

$$\frac{9261}{38967}\times \frac{3\pi }{14}$$

Reduce the fraction \frac{9261}{38967} to lowest terms by extracting and canceling out 3.

$$\frac{3087}{12989}\times \frac{3\pi }{14}$$

Multiply \frac{3087}{12989} times \frac{3\pi }{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3087\times 3\pi }{12989\times 14}$$

Cancel out 7 in both numerator and denominator.

$$\frac{3\times 441\pi }{2\times 12989}$$

Multiply 3 and 441 to get 1323.

$$\frac{1323\pi }{2\times 12989}$$

Multiply 2 and 12989 to get 25978.

$$\frac{1323\pi }{25978}$$

Expand

$$\frac{1323 \pi}{25978} = 0.15999411350755624$$

Solution Steps

Calculate 185 to the power of 2 and get 34225.

$$\frac{34225-158^{2}}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Calculate 158 to the power of 2 and get 24964.

$$\frac{34225-24964}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Subtract 24964 from 34225 to get 9261.

$$\frac{9261}{256^{2}-163^{2}}\times \frac{3\pi }{14}$$

Calculate 256 to the power of 2 and get 65536.

$$\frac{9261}{65536-163^{2}}\times \frac{3\pi }{14}$$

Calculate 163 to the power of 2 and get 26569.

$$\frac{9261}{65536-26569}\times \frac{3\pi }{14}$$

Subtract 26569 from 65536 to get 38967.

$$\frac{9261}{38967}\times \frac{3\pi }{14}$$

Reduce the fraction \frac{9261}{38967} to lowest terms by extracting and canceling out 3.

$$\frac{3087}{12989}\times \frac{3\pi }{14}$$

Multiply \frac{3087}{12989} times \frac{3\pi }{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3087\times 3\pi }{12989\times 14}$$

Cancel out 7 in both numerator and denominator.

$$\frac{3\times 441\pi }{2\times 12989}$$

Multiply 3 and 441 to get 1323.

$$\frac{1323\pi }{2\times 12989}$$

Multiply 2 and 12989 to get 25978.

$$\frac{1323\pi }{25978}$$