Final answer:
To find the radius of a quarter circle given its perimeter, divide the perimeter by 2π. The radius is approximately 5.12 units.
Step-by-step explanation:
To find the radius of a quarter circle given its perimeter, we can use the formula for the circumference of a circle. The formula is C = 2πr, where C is the circumference and r is the radius. In this case, the perimeter of the quarter circle is given as 32.13. Setting up the equation, we have 32.13 = 2πr. Solving for r, we divide both sides by 2π to get r = 32.13 / (2π).
Using a calculator to approximate π to 3.14159, we can calculate the radius as r ≈ 32.13 / (2 × 3.14159) ≈ 5.12. Therefore, the radius of the quarter circle is approximately 5.12 units.