Question

If PA and PB are tangents from an external point p to circle such that pA =30cm and angle APB 60degree then the length of chord is

Answer 1

Answer:

∪AB ≈ 36.29 cm

Step-by-step explanation:

If point O is center of given circle, then OAPB is quadrilateral and

m∠O = 360° - 60° - 2×90° = 120° ⇒ ∪AB = 120° ⇒ ∪AB is 1/3 part of circumference C.

r = 30tan30° = 30 × $\frac{\sqrt{3}}{3}$ = 10√3 cm

C = 2πr

C = 2π × 10√3 = 20π√3 cm

∪AB = 20 × (22/7) × √3 ÷ 3 ≈ 36.29 cm