Math, asked by aarav9971, 1 year ago

A chord of a circle is 6cm long and is 4cm from the center of the circle . Find the radius of the circle

Answers

Answered by GamingJAKE
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 mkrishnan
1

Answer:

5

Step-by-step explanation:

R^2 = 4^2 + [6/2]^2  

       =16 +9

        =25

     R = 5

Similar questions