Q9. - Algebra 1

Question

Find the perimeter of each figure.

A quarter-circle with a radius of 7 inches

Step-by-Step Solution

Answer

The perimeter of the quarter circle with radius 7 inches is 25 inches.

Step 1. Given information.

A quarter circle with radius 7 inches.

Step 2. Perimeter of quarter circle.

The perimeter of a quarter circle with radius r units is denoted by $P=\frac{2\pi r}{4}+2r$.

Step 3. Calculations.

$$\begin{gathered} P=\frac{2\times \frac{22}{7}\times 7}{4}+\left(2\times 7\right) \\ =\frac{2\times 22}{4}+14 \\ =11+14 \\ =25 \end{gathered}$$

Thus, the perimeter of the quarter circle with radius 7 inches is 25 inches.