The radius of a circle is 13 cm and the length of one of it’s chord is 10 cm.
Find the distance of the chord from the centre.
Answers
Answered by
3
Step-by-step explanation:
Let AB be a chord of a circle with centre O and radius 13 cm such that AB = 10 cm.
From O, draw OL ⊥ AB. Join OA.
Since, the perpendicular from the centre of a circle to a chord bisects the chord.
∴ AL = LB = ½ AB = 5 cm
Now, in right triangle OLA, we have
OA2 = OL2 + AL2
⇒ 132 = OL2 = 52
⇒ 132 – 52 = OL2
⇒ OL2 = 144
⇒ OL = 12 cm.
Hence, the distance of the chord from the centre is 12 cm.
Answered by
7
Answer:
This is correct answer. Please Mark Brainliest.
Attachments:
Similar questions