Solve 2*1.075*0.982*0.5*9.8/pi*left(0.2958div200right)^2*0.071*0.01068

$$\frac{ 2 \times 1.075 \times 0.982 \times 0.5 \times 9.8 }{ \pi \times { \left(0.2958 \div 200 \right) }^{ 2 } \times 0.071 \times 0.01068 }$$

Evaluate

$$\frac{258634250000000000000}{41467319037\pi }\approx 1985318573.580155373$$

Solution Steps

Multiply 2 and 1.075 to get 2.15.

$$\frac{2.15\times 0.982\times 0.5\times 9.8}{\pi \times \left(\frac{0.2958}{200}\right)^{2}\times 0.071\times 0.01068}$$

Multiply 2.15 and 0.982 to get 2.1113.

$$\frac{2.1113\times 0.5\times 9.8}{\pi \times \left(\frac{0.2958}{200}\right)^{2}\times 0.071\times 0.01068}$$

Multiply 2.1113 and 0.5 to get 1.05565.

$$\frac{1.05565\times 9.8}{\pi \times \left(\frac{0.2958}{200}\right)^{2}\times 0.071\times 0.01068}$$

Multiply 1.05565 and 9.8 to get 10.34537.

$$\frac{10.34537}{\pi \times \left(\frac{0.2958}{200}\right)^{2}\times 0.071\times 0.01068}$$

Expand \frac{0.2958}{200} by multiplying both numerator and the denominator by 10000.

$$\frac{10.34537}{\pi \times \left(\frac{2958}{2000000}\right)^{2}\times 0.071\times 0.01068}$$

Reduce the fraction \frac{2958}{2000000} to lowest terms by extracting and canceling out 2.

$$\frac{10.34537}{\pi \times \left(\frac{1479}{1000000}\right)^{2}\times 0.071\times 0.01068}$$

Calculate \frac{1479}{1000000} to the power of 2 and get \frac{2187441}{1000000000000}.

$$\frac{10.34537}{\pi \times \frac{2187441}{1000000000000}\times 0.071\times 0.01068}$$

Multiply \frac{2187441}{1000000000000} and 0.071 to get \frac{155308311}{1000000000000000}.

$$\frac{10.34537}{\pi \times \frac{155308311}{1000000000000000}\times 0.01068}$$

Multiply \frac{155308311}{1000000000000000} and 0.01068 to get \frac{41467319037}{25000000000000000000}.

$$\frac{10.34537}{\pi \times \frac{41467319037}{25000000000000000000}}$$