Prince kumar Chandwara , koderma, India 50 Questions 611 Answers 33 Best Answers 899 Points View Profile 6 Prince kumarExpert Asked: November 9, 20202020-11-09T09:21:49+00:00 2020-11-09T09:21:49+00:00In: Maths If two tangents inclined at an angle 60˚ are drawn to a circle of radius 3 cm, then find length of each tangent. 6 If two tangents inclined at an angle 60˚ are drawn to a circle of radius 3 cm, then find length of each tangent. circles Share Facebook 1 Answer Voted Oldest Recent Dhiraj Telaiya, India 51 Questions 123 Answers 22 Best Answers 338 Points View Profile Best Answer Dhiraj Proficient 2021-04-14T13:10:02+00:00Added an answer on April 14, 2021 at 1:10 pm Suppose O be the centre of the circle and PA and PB be the two tangents drawn from P to the circle so that ∠APB = 60° Join OP, OA and OB. In △OAP and △OBP, ∠OAP = ∠OBP = 90° [radius is perpendicular to the tangent at the point of contact] OA = OB [radii] OP = OP [common] Therefore, △OAP ≅ △OBP [by RHS congruency] So, ∠OPA = ∠OPB = 30° [by cpct] In the right △OAP, tan 30° = OA/AP ⇒1/√3 = 3/AP ⇒AP= 3√3 cm = 3×1.732 cm = 5.196 cm So, length of each tangent = 5.196 cm. 1 Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp You must login to add an answer. Username or email* Password* Remember Me! Forgot Password?