Solve pir^2+(30-pir/2)

$$\pi r ^ { 2 } + ( \frac { 30 - \pi r } { 2 } )$$

Evaluate

$$\pi r^{2}-\frac{\pi r}{2}+15$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply \pi r^{2} times \frac{2}{2}.

$$\frac{2\pi r^{2}}{2}+\frac{30-\pi r}{2}$$

Since \frac{2\pi r^{2}}{2} and \frac{30-\pi r}{2} have the same denominator, add them by adding their numerators.

$$\frac{2\pi r^{2}+30-\pi r}{2}$$

Expand

$$\pi r^{2}-\frac{\pi r}{2}+15$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply \pi r^{2} times \frac{2}{2}.

$$\frac{2\pi r^{2}}{2}+\frac{30-\pi r}{2}$$

Since \frac{2\pi r^{2}}{2} and \frac{30-\pi r}{2} have the same denominator, add them by adding their numerators.

$$\frac{2\pi r^{2}+30-\pi r}{2}$$