Question: Two tangents are drawn from a point outside a circle. If the lengths of the tangents are 7 units each, what is the distance from the point to the center of the circle?

Options:

1. 7
2. 10
3. 14
4. √(49 + r²)

Correct Answer: √(49 + r²)

Solution:

The distance from the point to the center is given by the Pythagorean theorem: distance = √(tangent length² + radius²) = √(7² + r²).