In a circle, two tangents PA and PB are drawn from an external point P. If the angle between the tangents ∠APB = 120°, if the radius is 10 cm, what is the length of the segment OP? (use √3 = 1.732)
Show answer & explanation
Correct answer: D
Explanation
∠APB = 120°, radius (OA) = 10 cm
According to the formula:
OP = r / sin(∠APB/2)
OP = 10 / sin(60°)
= 10 / (√3/2)
= 20 / √3
= 20 / 1.732
= 11.5 cm