Step-by-step explanation:
SK = 52, SO = 45, and SO ⊥ OK.
Using Pythagorean theorem:
OK² + SO² = SK²
OK² + 45² = 52²
OK = √679
The distance from S to the center is R. So the distance from the center to O is 45 − R.
The distance from the center to K is R.
So using Pythagorean theorem:
OK² + (45 − R)² = R²
679 + 2025 − 90R + R² = R²
2704 = 90R
R = 1352/45
R = 30 2/45
