Question

o is the center of circle find the
length the chord whose radius
is 13 cm and distance of the
chord from the center is 5cm
​

Answer 1

Answer:

Answer: The required length of the chord is 24 cm. Step-by-step explanation: We are given to find the length of chord which is at distance of 5 cm from center of circle of radius 13 cm. radius, OB = 13 cm and distance of AB from O, OD = 5 cm

Answer 2

Answer:

Let PQ be a chord of a circle with centre O and radius 13cm such that PQ = 24cm.

From O, draw OM perpendicular PQ and join OP.

As, the perpendicular from the centre of a circle to a chord bisects the chord.

∴  PM = 12cm

In △OMP, we have

 OP2 = OM2 + PM2

⇒ 132 = OM2 + 122

⇒ OM = 5cm.                                                                                                                                                      Hence, the distance of the chord from the centre is 5cm.