Solve 2*1.068*1.220/pi*frac{(3*10^-4)^2{4}*0.071*0.2412}

$$\frac { 2 \times 1.068 \times 1.220 } { \pi \times \frac { ( 3 \times 10 ^ { - 4 } ) ^ { 2 } } { 4 } \times 0.071 \times 0.2412 }$$

Evaluate

$$\frac{868640000000000}{128439\pi }\approx 2152747214.901143074$$

Solution Steps

Multiply 2 and 1.068 to get 2.136.

$$\frac{2.136\times 1.22}{\pi \times \frac{\left(3\times 10^{-4}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Multiply 2.136 and 1.22 to get 2.60592.

$$\frac{2.60592}{\pi \times \frac{\left(3\times 10^{-4}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{2.60592}{\pi \times \frac{\left(3\times \frac{1}{10000}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Multiply 3 and \frac{1}{10000} to get \frac{3}{10000}.

$$\frac{2.60592}{\pi \times \frac{\left(\frac{3}{10000}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Calculate \frac{3}{10000} to the power of 2 and get \frac{9}{100000000}.

$$\frac{2.60592}{\pi \times \frac{\frac{9}{100000000}}{4}\times 0.071\times 0.2412}$$

Express \frac{\frac{9}{100000000}}{4} as a single fraction.

$$\frac{2.60592}{\pi \times \frac{9}{100000000\times 4}\times 0.071\times 0.2412}$$

Multiply 100000000 and 4 to get 400000000.

$$\frac{2.60592}{\pi \times \frac{9}{400000000}\times 0.071\times 0.2412}$$

Multiply \frac{9}{400000000} and 0.071 to get \frac{639}{400000000000}.

$$\frac{2.60592}{\pi \times \frac{639}{400000000000}\times 0.2412}$$

Multiply \frac{639}{400000000000} and 0.2412 to get \frac{385317}{1000000000000000}.

$$\frac{2.60592}{\pi \times \frac{385317}{1000000000000000}}$$

Expand

$$\frac{868640000000000}{128439 \pi} = 2152747214.901143$$

Solution Steps

Multiply 2 and 1.068 to get 2.136.

$$\frac{2.136\times 1.22}{\pi \times \frac{\left(3\times 10^{-4}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Multiply 2.136 and 1.22 to get 2.60592.

$$\frac{2.60592}{\pi \times \frac{\left(3\times 10^{-4}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{2.60592}{\pi \times \frac{\left(3\times \frac{1}{10000}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Multiply 3 and \frac{1}{10000} to get \frac{3}{10000}.

$$\frac{2.60592}{\pi \times \frac{\left(\frac{3}{10000}\right)^{2}}{4}\times 0.071\times 0.2412}$$

Calculate \frac{3}{10000} to the power of 2 and get \frac{9}{100000000}.

$$\frac{2.60592}{\pi \times \frac{\frac{9}{100000000}}{4}\times 0.071\times 0.2412}$$

Express \frac{\frac{9}{100000000}}{4} as a single fraction.

$$\frac{2.60592}{\pi \times \frac{9}{100000000\times 4}\times 0.071\times 0.2412}$$

Multiply 100000000 and 4 to get 400000000.

$$\frac{2.60592}{\pi \times \frac{9}{400000000}\times 0.071\times 0.2412}$$

Multiply \frac{9}{400000000} and 0.071 to get \frac{639}{400000000000}.

$$\frac{2.60592}{\pi \times \frac{639}{400000000000}\times 0.2412}$$

Multiply \frac{639}{400000000000} and 0.2412 to get \frac{385317}{1000000000000000}.

$$\frac{2.60592}{\pi \times \frac{385317}{1000000000000000}}$$