Question

If the length of a chord of a circle ata distance of 24 cm from the center of the circle is 36 cm, then the length of the greatest chord of the circle is​

Answer 1

Answer:

H

2

=B

2

+P

2

Then given that

Distance between chord from radius =5 cm

Length of chord =24 cm

H

2

=B

2

+P

2

H=

(12)

2

+(5)

2

⇒H=

144+25

⇒H=

169

⇒H=

(13)

2

⇒H=13cm

∴ The radius of the circle =13 cm.

Diameter of the circle =2×radius=2×13=26cm.