Solve -45/360*225pi/360*225pi

$$\frac { \frac { - 45 } { 360 } \times 225 \pi } { 360 } \times 225 \pi$$

Evaluate

$$-\frac{1125\pi ^{2}}{64}\approx -173.489139863$$

Solution Steps

Reduce the fraction \frac{-45}{360} to lowest terms by extracting and canceling out 45.

$$\frac{-\frac{1}{8}\times 225\pi }{360}\times 225\pi$$

Express -\frac{1}{8}\times 225 as a single fraction.

$$\frac{\frac{-225}{8}\pi }{360}\times 225\pi$$

Fraction \frac{-225}{8} can be rewritten as -\frac{225}{8} by extracting the negative sign.

$$\frac{-\frac{225}{8}\pi }{360}\times 225\pi$$

Divide -\frac{225}{8}\pi by 360 to get -\frac{5}{64}\pi .

$$-\frac{5}{64}\pi \times 225\pi$$

Express -\frac{5}{64}\times 225 as a single fraction.

$$\frac{-5\times 225}{64}\pi \pi$$

Multiply -5 and 225 to get -1125.

$$\frac{-1125}{64}\pi \pi$$

Fraction \frac{-1125}{64} can be rewritten as -\frac{1125}{64} by extracting the negative sign.

$$-\frac{1125}{64}\pi \pi$$

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

$$-\frac{1125}{64}\pi ^{2}$$