Two parallel chords lies on opposite sides of the centre of a circle of radius 13cm. Their length are 10cm and 24cm what is the distance between the chords
interesting
two 5 , 12 , 13 right triangles in there
5 + 12 = 17
To find the distance between two parallel chords in a circle, we can use the formula:
Distance = 2 * √(r^2 - (d/2)^2)
Where:
- r is the radius of the circle, and
- d is the difference in lengths of the two chords.
In this case, the radius (r) is given as 13 cm, and the difference in lengths (d) is 24 cm - 10 cm = 14 cm.
Substituting these values into the formula, we have:
Distance = 2 * √(13^2 - (14/2)^2)
= 2 * √(169 - 49)
= 2 * √120
= 2 * √(4 * 30)
= 2 * (2 * √30)
= 4√30 cm
Therefore, the distance between the chords is 4√30 centimeters.