Question

Ques 9:- AB and CD are two parallel chords of
a circle of length 24cm and 10 cm respectively
and lie on the same side of its centre o. If
the distance between the chords is 7cm, find
the radius of the circle​

Answer 1

Answer:

According to the problem

OA+OC=radii of corcle

Therefore

OE⊥AB,OC⊥CD

Since

AE=EB=5Cm

CF=FD=2Cm

let OE=XCm

In ΔOAE,

OA

2

=AE

2

+OE

2

Implies that

OA

2

=5

2

+x

2

(1)

InΔOCE,

OC

2

=2

2

+(x+3)

2

(2)

Since

5

2

+x

2

=2

2

+(x+3)

2

Implies that

25+x

2

=4+x

2

+6x+9

Implies that

6x=25−13

6x=12

x=

6

12

x=2cm

Answer 2

hope it's help you...

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