Question

find the length of a chord which is at a distance of 12cm from the centre of the circle of radius 13 CM.

Answer 1

By Pythagoras theorem,

(Radius)² =(distance)²+(half of chord)²

13² = 12²+(half of chord)²

169=144+(half of chord)²

169-144= (half of chord)²

25=(half of chord)²

√25=5cm = (chord/2)

5*2 =chord

10 cm =chord



Lenght of chord is 10cm


I hope this will help you


-by ABHAY

Answer 2

Radius of circle = 13 cm

Distance of chord from the Centre = 12 cm

By Pythagoras theoram,

In Triangle AOP

AP = sqrt ( 13^2 - 12^2)

AP = sqrt ( 169 - 144)

AP = sqrt 25

AP = 5 cm

Length of chord = 2 × AP

= 2 × 5

= 10 cm