Solve pi*(1.2*10^-3)^2/1.06*10^-6

$$\frac { \pi \times ( 1.2 \times 10 ^ { - 3 } ) ^ { 2 } } { 1.06 \times 10 ^ { - 6 } }$$

Evaluate

$$\frac{72\pi }{53}\approx 4.267823982$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\pi \times \left(1.2\times \frac{1}{1000}\right)^{2}}{1.06\times 10^{-6}}$$

Multiply 1.2 and \frac{1}{1000} to get \frac{3}{2500}.

$$\frac{\pi \times \left(\frac{3}{2500}\right)^{2}}{1.06\times 10^{-6}}$$

Calculate \frac{3}{2500} to the power of 2 and get \frac{9}{6250000}.

$$\frac{\pi \times \frac{9}{6250000}}{1.06\times 10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\pi \times \frac{9}{6250000}}{1.06\times \frac{1}{1000000}}$$

Multiply 1.06 and \frac{1}{1000000} to get \frac{53}{50000000}.

$$\frac{\pi \times \frac{9}{6250000}}{\frac{53}{50000000}}$$

Divide \pi \times \frac{9}{6250000} by \frac{53}{50000000} by multiplying \pi \times \frac{9}{6250000} by the reciprocal of \frac{53}{50000000}.

$$\frac{\pi \times \frac{9}{6250000}\times 50000000}{53}$$

Multiply \frac{9}{6250000} and 50000000 to get 72.

$$\frac{\pi \times 72}{53}$$

Expand

$$\frac{72 \pi}{53} = 4.267823982235191$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\pi \times \left(1.2\times \frac{1}{1000}\right)^{2}}{1.06\times 10^{-6}}$$

Multiply 1.2 and \frac{1}{1000} to get \frac{3}{2500}.

$$\frac{\pi \times \left(\frac{3}{2500}\right)^{2}}{1.06\times 10^{-6}}$$

Calculate \frac{3}{2500} to the power of 2 and get \frac{9}{6250000}.

$$\frac{\pi \times \frac{9}{6250000}}{1.06\times 10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\pi \times \frac{9}{6250000}}{1.06\times \frac{1}{1000000}}$$

Multiply 1.06 and \frac{1}{1000000} to get \frac{53}{50000000}.

$$\frac{\pi \times \frac{9}{6250000}}{\frac{53}{50000000}}$$

Divide \pi \times \frac{9}{6250000} by \frac{53}{50000000} by multiplying \pi \times \frac{9}{6250000} by the reciprocal of \frac{53}{50000000}.

$$\frac{\pi \times \frac{9}{6250000}\times 50000000}{53}$$

Multiply \frac{9}{6250000} and 50000000 to get 72.

$$\frac{\pi \times 72}{53}$$