Solve {left(1.44*13/400right)}^2*2*pi

$${ \left( \frac{ 1.44 \times 13 }{ 400 } \right) }^{ 2 } \times 2 \times \pi$$

Evaluate

$$\frac{13689\pi }{3125000}\approx 0.013761684$$

Solution Steps

Multiply 1.44 and 13 to get 18.72.

$$\left(\frac{18.72}{400}\right)^{2}\times 2\pi$$

Expand \frac{18.72}{400} by multiplying both numerator and the denominator by 100.

$$\left(\frac{1872}{40000}\right)^{2}\times 2\pi$$

Reduce the fraction \frac{1872}{40000} to lowest terms by extracting and canceling out 16.

$$\left(\frac{117}{2500}\right)^{2}\times 2\pi$$

Calculate \frac{117}{2500} to the power of 2 and get \frac{13689}{6250000}.

$$\frac{13689}{6250000}\times 2\pi$$

Multiply \frac{13689}{6250000} and 2 to get \frac{13689}{3125000}.

$$\frac{13689}{3125000}\pi$$

Expand

$$\frac{13689 \pi}{3125000} = 0.013761683787197016$$

Solution Steps

Multiply 1.44 and 13 to get 18.72.

$$\left(\frac{18.72}{400}\right)^{2}\times 2\pi$$

Expand \frac{18.72}{400} by multiplying both numerator and the denominator by 100.

$$\left(\frac{1872}{40000}\right)^{2}\times 2\pi$$

Reduce the fraction \frac{1872}{40000} to lowest terms by extracting and canceling out 16.

$$\left(\frac{117}{2500}\right)^{2}\times 2\pi$$

Calculate \frac{117}{2500} to the power of 2 and get \frac{13689}{6250000}.

$$\frac{13689}{6250000}\times 2\pi$$

Multiply \frac{13689}{6250000} and 2 to get \frac{13689}{3125000}.

$$\frac{13689}{3125000}\pi$$