Evaluate
\frac{150}{7\pi }\approx 6.820926133
Expand
\frac{150}{7 \pi} = 6.8209261325098005
Quiz
Arithmetic
5 problems similar to:
\frac{ 3000 }{ \frac{ \pi }{ 4 } ( { 39 }^{ 2 } - { 31 }^{ 2 } ) }
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\frac{3000}{\frac{\pi }{4}\left(1521-31^{2}\right)}
Calculate 39 to the power of 2 and get 1521.
\frac{3000}{\frac{\pi }{4}\left(1521-961\right)}
Calculate 31 to the power of 2 and get 961.
\frac{3000}{\frac{\pi }{4}\times 560}
Subtract 961 from 1521 to get 560.
\frac{3000}{140\pi }
Cancel out 4, the greatest common factor in 560 and 4.
\frac{3000}{\frac{\pi }{4}\left(1521-31^{2}\right)}
Calculate 39 to the power of 2 and get 1521.
\frac{3000}{\frac{\pi }{4}\left(1521-961\right)}
Calculate 31 to the power of 2 and get 961.
\frac{3000}{\frac{\pi }{4}\times 560}
Subtract 961 from 1521 to get 560.
\frac{3000}{140\pi }
Cancel out 4, the greatest common factor in 560 and 4.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}