Solve pi/4*(0,09)^2*16*10^5*0,08/4

$$\frac { \pi } { 4 } \cdot ( 0,09 ) ^ { 2 } \cdot 16 \cdot 10 ^ { 5 } \cdot \frac { 0,08 } { 4 }$$

Evaluate

$$\frac{324\pi }{5}\approx 203.575203953$$

Solution Steps

Calculate 0,09 to the power of 2 and get 0,0081.

$$\frac{\pi }{4}\times 0,0081\times 16\times 10^{5}\times \frac{0,08}{4}$$

Multiply 0,0081 and 16 to get 0,1296.

$$\frac{\pi }{4}\times 0,1296\times 10^{5}\times \frac{0,08}{4}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\pi }{4}\times 0,1296\times 100000\times \frac{0,08}{4}$$

Multiply 0,1296 and 100000 to get 12960.

$$\frac{\pi }{4}\times 12960\times \frac{0,08}{4}$$

Expand \frac{0,08}{4} by multiplying both numerator and the denominator by 100.

$$\frac{\pi }{4}\times 12960\times \frac{8}{400}$$

Reduce the fraction \frac{8}{400} to lowest terms by extracting and canceling out 8.

$$\frac{\pi }{4}\times 12960\times \frac{1}{50}$$

Multiply 12960 and \frac{1}{50} to get \frac{12960}{50}.

$$\frac{\pi }{4}\times \frac{12960}{50}$$

Reduce the fraction \frac{12960}{50} to lowest terms by extracting and canceling out 10.

$$\frac{\pi }{4}\times \frac{1296}{5}$$

Multiply \frac{\pi }{4} times \frac{1296}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\pi \times 1296}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{324\pi }{5}$$