Question

The distance of chord AB from the center of a circle is 8cm. length of the chord AB is 12cm. find the diameter of a circle.

Answer 1

Answer:

Answer

R.E.F image

Given length of chord AB = 12 cm.

Distance of chord from center = 8 cm.

OC=8 cm .AC=

2

12

=6 cm

In △OAC

OA

2

=AC

2

+OC

2

OA

2

=(6)

2

+(8)

2

=36+64

[ OA=10 cm].

∴ Diameter of circle is 2(OA) = 20 cm.

Answer 2

Answer:

Given length of chord AB = 12 cm.

Distance of chord from center = 8 cm.

OC=8 cm .AC=

2

12

=6 cm

In △OAC

OA

2

=AC

2

+OC

2

OA

2

=(6)

2

+(8)

2

=36+64

[ OA=10 cm].

∴ Diameter of circle is 2(OA) = 20 cm.

solution