Answer:
PR ≈ 62.2
Explanation:
We can create a right triangle inside this circle with the following dimensions:
- 11 (short leg)
- x (long leg and half of PR)
- 33 (hypotenuse and also the radius of the circle)
With these dimensions, we can solve for x using the Pythagorean Theorem, where a and b are the legs of a right triangle and c is its hypotenuse.
a² + b² = c²
11² + x² = 33²
x² = 33² - 11²
x² = 968
x =
x ≈ 31.11
We know that x is half the length of PR, so we can double it to solve for PR.
PR = x · 2
PR ≈ 31.11 · 2
PR ≈ 62.2