Solve pi(3.7*10^-9)^2

$$\pi ( 3.7 \times 10 ^ { - 9 } ) ^ { 2 }$$

Evaluate

$$\frac{1369\pi }{100000000000000000000}\approx 4.300840343 \cdot 10^{-17}$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\pi \times \left(3.7\times \frac{1}{1000000000}\right)^{2}$$

Multiply 3.7 and \frac{1}{1000000000} to get \frac{37}{10000000000}.

$$\pi \times \left(\frac{37}{10000000000}\right)^{2}$$

Calculate \frac{37}{10000000000} to the power of 2 and get \frac{1369}{100000000000000000000}.

$$\pi \times \frac{1369}{100000000000000000000}$$

Expand

$$\frac{1369 \pi}{100000000000000000000} = 4.300840342764427 \times 10^{-17}$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\pi \times \left(3.7\times \frac{1}{1000000000}\right)^{2}$$

Multiply 3.7 and \frac{1}{1000000000} to get \frac{37}{10000000000}.

$$\pi \times \left(\frac{37}{10000000000}\right)^{2}$$

Calculate \frac{37}{10000000000} to the power of 2 and get \frac{1369}{100000000000000000000}.

$$\pi \times \frac{1369}{100000000000000000000}$$