Solve pi(37*10^-9)^2

$$\pi ( 37 \times 10 ^ { - 9 } ) ^ { 2 }$$

Evaluate

$$\frac{1369\pi }{1000000000000000000}\approx 4.300840343 \cdot 10^{-15}$$

Solution Steps

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

$$\pi \times \left(37\times \frac{1}{1000000000}\right)^{2}$$

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

$$\pi \times \left(\frac{37}{1000000000}\right)^{2}$$

Calculate \frac{37}{1000000000} to the power of 2 and get \frac{1369}{1000000000000000000}.

$$\pi \times \frac{1369}{1000000000000000000}$$

Expand

$$\frac{1369 \pi}{1000000000000000000} = 4.300840342764427 \times 10^{-15}$$

Solution Steps

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

$$\pi \times \left(37\times \frac{1}{1000000000}\right)^{2}$$

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

$$\pi \times \left(\frac{37}{1000000000}\right)^{2}$$

Calculate \frac{37}{1000000000} to the power of 2 and get \frac{1369}{1000000000000000000}.

$$\pi \times \frac{1369}{1000000000000000000}$$