A chord of a circle is 6cm long and is 4cm from the center of the circle . Find the radius of the circle
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Answered by
2
♡_♡
HERE IS YOUR ANSWER
STEP BY STEP :
IF IN ○ WITH CENTRE C
LET (AB )BE THE CHORD OF LENGTH 6cm AND( OP) BE THE DISTANCE OF CENTRE TO THE CHORD WHICH IS 4cm
NOW (OP) ⊥ (AB)
2AP=AB..... A PERPENDICULAR DRAWN from THE CENTRE OF THE CIRCLE TO THE CHORD BISECTS IT.
AP=3
OP=4
LET AO BE THE RADIUS OF CIRCLE
IN △ AOP , ∠ APO = 90°
BY PYTHAGORAS
AO ² = AP ² + OP ²
= 9 + 16
=25
TAKING √ ON BOTH SIDE
AO=5
RADIUS OF CIRCLE IS 5cm
♤_♡ MARK AS BRAINIST PLZ
Answered by
1
Answer:
5
Step-by-step explanation:
R^2 = 4^2 + [6/2]^2
=16 +9
=25
R = 5
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