Question

A chord of length 24cm is at a distance of 9cm from the centre of a circle. Find
the length of the chord of the same circle which is at a distance of 12cm from the centre.

Answer 1

Answer:

18 cm

Step-by-step explanation:

given a chord is 24cm and is at a distab

now of 9cm from the centre

so let's draw a line from the centre of the circle to the centre of the chord perpendicularly

now let's take a radius joining the centre to one end of the chord for forming a triangle

in the triangle using phythagorus Theron we can find the radius

radius = 15 cm

now we take the second chord

we will join the centre of circle to the center of the second chord perpendicularly and join the end of the chord and radius

we will get a triangle

now again using phythagorus theorem

we will get half of the chord

so

half of chord length = √(15²-12²)

= √(81

= 9

so lenght of the chord is

2 X 9 = 18 cm