Final answer:
The radius of a circle with the center at (3,5) and passing through the point (0,0) is calculated using the distance formula. By plugging in these points into the formula, we find that the radius of the circle is 5.83.
Step-by-step explanation:
The radius of a circle is the distance between the center of the circle and any point on the circumference. In this case, the center of the circle is at (3,5) and it passes through (0,0). We can calculate this distance using the distance formula derived from the Pythagorean theorem, which is sqrt[(x₂-x₁)² + (y₂-y₁)²]. Substituting in the coordinates of the center (3,5) and the point on the circumference (0,0) gives us sqrt[(0-3)² + (0-5)²] = sqrt[9 + 25] = sqrt[34], which approximately equals to 5.83. Therefore, the answer is C. 5.83.
Learn more about Radius of a Circle