From a point outside a circular garden, two tangents of length 15 m each are drawn. If the radius of the garden is 9 m, find the distance from the point to the center.
Show answer & explanation
Correct answer: C
Explanation
Given:
Length of tangent = 15 m
Radius (r) = 9 m
By formula:
OP² = OT² + r²
OP² = 15² + 9²
OP² = 225 + 81
OP² = 306
OP = √306
OP = 17.5
Distance from point to center = 17.5 m