Question

the length of a chord of a circle is 24 cm if its distance from centre is 5 cm then find the length of another chord at distance 5 cm from the centre of the same circle

Answer 1

Step-by-step explanation:

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 = under root (12)^2 + (5)^2

=> H = under root 144 + 25

=> H = under root 169

=> H = under root (13)^2

=> H = 13 cm

∴ Radius of the circle = 13 cm

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