Solve -6.63div4pi*1/36pi*10^-9

$$-6.63 \div 4 \pi \times \frac{ 1 }{ 36 } \pi \times { 10 }^{ -9 }$$

Evaluate

$$-\frac{221\pi ^{2}}{4800000000000}\approx -4.54413036 \cdot 10^{-10}$$

Solution Steps

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

$$\frac{-6.63}{4}\pi ^{2}\times \frac{1}{36}\times 10^{-9}$$

Expand \frac{-6.63}{4} by multiplying both numerator and the denominator by 100.

$$\frac{-663}{400}\pi ^{2}\times \frac{1}{36}\times 10^{-9}$$

Fraction \frac{-663}{400} can be rewritten as -\frac{663}{400} by extracting the negative sign.

$$-\frac{663}{400}\pi ^{2}\times \frac{1}{36}\times 10^{-9}$$

Multiply -\frac{663}{400} and \frac{1}{36} to get -\frac{221}{4800}.

$$-\frac{221}{4800}\pi ^{2}\times 10^{-9}$$

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

$$-\frac{221}{4800}\pi ^{2}\times \frac{1}{1000000000}$$

Multiply -\frac{221}{4800} and \frac{1}{1000000000} to get -\frac{221}{4800000000000}.

$$-\frac{221}{4800000000000}\pi ^{2}$$