Question

In a circle with centre o and radius is 17 cm. AB it a cord,at a distance of 8 cm(OD) from the centre. find the length of cord :​

Answer 1

Answer:

30cm

Step-by-step explanation:

Given, OB=OA=17cm and OD=8cm

Since angle ODB is 90 degrees,

(OD)^2+(BD)^2=(OB)^2

(8)^2+(BD)^2=(17)^2

(BD)^2=289-64=225

BD=15cm

So, Length of the chord is AD+DB=2BD

=2 x 15cm=30cm

The length of the chord is 30cm.

Thank you

Answer 2

length of chord AB= 2 √( 17²-8²)

= 2√( 289-25)

= 2×√225

= 2×15

= 30 cm