English, asked by acharyasubham85, 3 months ago

the radius of a circle is 34 , find the distance of the chord​

Answers

Answered by nitinprasad212007
0

Answer:

AP = 34 cm, AM = 30 cm To Find: Length of the chord (PQ) i. In ∆AMP, ∠AMP = 90° ∴ AP2 = AM2 + PM2 [Pythagoras theorem] 342 = 302 + PM2 ∴ PM2 = 342 – 302 ∴ PM2(34 – 30)(34 + 30) [a2 – b2 = (a – b)(a + b)] = 4 x 64 ∴ PM = √(4 x 64) ………(i) [Taking square root on both sides] = 2 x 8 = 16cm ii. Now, PM = (1/2) (PQ) [Perpendicular drawn from the centre of a circle to the chord bisects the chord.] 16 = (1/2) (PQ) [From (i)] ∴ PQ = 16 x 2 = 32cm ∴ The length of the chord of the circle is 32cm.Read more on Sarthaks.com - https://www.sarthaks.com/850520/radius-circle-cm-and-the-distance-the-chord-from-the-centre-30-cm-find-the-length-of-the-chord

Similar questions