Solve pi/4left(5*110^-3right)^2

$$\frac{ \pi }{ 4 } { \left(5 \times 1 { 10 }^{ -3 } \right) }^{ 2 }$$

Evaluate

$$\frac{\pi }{160000}\approx 0.000019635$$

Solution Steps

Multiply 5 and 1 to get 5.

$$\frac{\pi }{4}\times \left(5\times 10^{-3}\right)^{2}$$

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

$$\frac{\pi }{4}\times \left(5\times \frac{1}{1000}\right)^{2}$$

Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.

$$\frac{\pi }{4}\times \left(\frac{1}{200}\right)^{2}$$

Calculate \frac{1}{200} to the power of 2 and get \frac{1}{40000}.

$$\frac{\pi }{4}\times \frac{1}{40000}$$

Multiply \frac{\pi }{4} times \frac{1}{40000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\pi }{4\times 40000}$$

Multiply 4 and 40000 to get 160000.

$$\frac{\pi }{160000}$$

Expand

$$\frac{\pi}{160000} = 1.9634954084936205 \times 10^{-5}$$

Solution Steps

Multiply 5 and 1 to get 5.

$$\frac{\pi }{4}\times \left(5\times 10^{-3}\right)^{2}$$

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

$$\frac{\pi }{4}\times \left(5\times \frac{1}{1000}\right)^{2}$$

Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.

$$\frac{\pi }{4}\times \left(\frac{1}{200}\right)^{2}$$

Calculate \frac{1}{200} to the power of 2 and get \frac{1}{40000}.

$$\frac{\pi }{4}\times \frac{1}{40000}$$

Multiply \frac{\pi }{4} times \frac{1}{40000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\pi }{4\times 40000}$$

Multiply 4 and 40000 to get 160000.

$$\frac{\pi }{160000}$$