Math, asked by anvi25012007, 8 months ago

hey guys ..please help..anyone who solve this right will be surely marked as brainalist ...thank u sooo much​

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Answers

Answered by soumyajitpramanik51
1

Answer:

Ok.. wait let me solve.. and then I am sending you..!

Answered by kislayasrivastava
1

Answer:

5

Step-by-step explanation:

AB=8cm

CD=6cm

PQ=1cm

Let radius of the circle be r

Therefore,

OA=OC=r

We know that the perpendicular dripped from the centre of the circle on the chord bisects the chord.

Therefore,

CQ=QD=3cm

AP=PB=4cm

Let OP=x

=>OQ=x+1

Now,

OA

2

=OP

2

+AP

2

=>r

2

=x

2

+4

2

=>r

2

=x

2

+16 (i)

OC

2

+OQ

2

+CQ

2

=>r

2

=(x+1)

2

+3

2

=>r

2

=x

2

+2x+1+9

=>x

2

+16=x

2

+2x+1+9 (from (i)

=>2x=6

=>x=3

Therefore,

r

2

=3

2

+16

=>r

2

=9+16

=>r

2

=25

=>r=5cm

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