Solve (1/2+r)*100=pi*150

$$( \frac { 1 } { 2 } + r ) \times 100 = \pi \times 150$$

Solve for r

$$r = \frac{3 \pi - 1}{2} \approx 4.21238898$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2}+r by 100.

$$\frac{1}{2}\times 100+100r=\pi \times 150$$

Multiply \frac{1}{2} and 100 to get \frac{100}{2}.

$$\frac{100}{2}+100r=\pi \times 150$$

Divide 100 by 2 to get 50.

$$50+100r=\pi \times 150$$

Subtract 50 from both sides.

$$100r=\pi \times 150-50$$

The equation is in standard form.

$$100r=150\pi -50$$

Divide both sides by 100.

$$\frac{100r}{100}=\frac{150\pi -50}{100}$$

Dividing by 100 undoes the multiplication by 100.

$$r=\frac{150\pi -50}{100}$$

Divide 150\pi -50 by 100.

$$r=\frac{3\pi -1}{2}$$