Solve =4pi*10^-7*(100)^2*pi(0.01)^2/0.60

$$= \frac { 4 \pi \times 10 ^ { - 7 } \times ( 100 ) ^ { 2 } \times \pi ( 0.01 ) ^ { 2 } } { 0.60 }$$

Evaluate

$$\frac{\pi ^{2}}{1500000}\approx 0.00000658$$

Solution Steps

Multiply \pi and \pi to get \pi ^{2}.

$$\frac{4\pi ^{2}\times 10^{-7}\times 100^{2}\times 0.01^{2}}{0.6}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{4\pi ^{2}\times \frac{1}{10000000}\times 100^{2}\times 0.01^{2}}{0.6}$$

Multiply 4 and \frac{1}{10000000} to get \frac{1}{2500000}.

$$\frac{\frac{1}{2500000}\pi ^{2}\times 100^{2}\times 0.01^{2}}{0.6}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{\frac{1}{2500000}\pi ^{2}\times 10000\times 0.01^{2}}{0.6}$$

Multiply \frac{1}{2500000} and 10000 to get \frac{1}{250}.

$$\frac{\frac{1}{250}\pi ^{2}\times 0.01^{2}}{0.6}$$

Calculate 0.01 to the power of 2 and get 0.0001.

$$\frac{\frac{1}{250}\pi ^{2}\times 0.0001}{0.6}$$

Multiply \frac{1}{250} and 0.0001 to get \frac{1}{2500000}.

$$\frac{\frac{1}{2500000}\pi ^{2}}{0.6}$$

Divide \frac{1}{2500000}\pi ^{2} by 0.6 to get \frac{1}{1500000}\pi ^{2}.

$$\frac{1}{1500000}\pi ^{2}$$