Math, asked by asmakhano8218, 3 months ago

in a circle with centre O, OC is perpendicular to chord AB which is equal to 24cm, if OC = 5cm than find radius of the circle

Answers

Answered by banwaitharshdeep2

2

Answer:

Perpendicular drawn from centre of a circle to chord bisects the chord.

AC=BC=12cm

And ∠OCB=90°

Thus, triangle OCB is a right angled triangle

OB=13cm.

Therefore by Pythagoras theorem

OB² =OC²+BC²

OC² =OB²−BC²

OC= √13²- 12²

OC=5cm

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