SOLUTION: Two parallel chord lies on opposite sides of the centre of a circle of diameter 24cm.the length of the chords are 5cm and 6cm. Calculate the distance between the two chords?

Question 776923: Two parallel chord lies on opposite sides of the centre of a circle of diameter 24cm.the length of the chords are 5cm and 6cm. Calculate the distance between the two chords?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
One way to handle this is lay the circle onto a cartesian system, centered at the origin, radius of the circle 12 cm. Examine the two chords separately.

The two lengths for x to examine for y are HALF of 5 cm, and HALF of 6 cm. Evaluate for each, separately, and then SUM the two results for y. This result is the distance between the two chords.

This picture shows x=2.5, corresponding to a chord length of 5 cm. The equation for the circle is shown in the symbolic description already described. The value for y is the distance of the chord from the diameter. The diameter here is shown as the horizontal axis from -12 to +12. The distance is computed as .
'
A similar picture and process is done for the 6 cm. chord.
RELATED QUESTIONS
Two parallel chords lies on opposite sides of a center of a circle of radius 13cm.Their... (answered by ikleyn)

Two parallel chords lies on opposite sides of a center of a circle of radius 13cm.Their... (answered by ikleyn)

Please help me solve this question: 1."A chord of length 24cm Is 13cm from the centre of (answered by ikleyn)

two parallel chords lie on opposite sides of the centre of a circle of radius 13cm. their (answered by Boreal)

Two parallel chords of length 24cm and 10cm which lie on opposite sides of a circle are... (answered by MathLover1)

Two parallel chords on opposite sides of the centre of a circle are 9 cm apart. If the... (answered by lwsshak3)

two parallel chords of length 30 cm and 16 cm are draw on the opposite sides of center of (answered by ikleyn)

In a circle of radius 5cm, two parallel chords of length 5 cm form opposite sides of a... (answered by lwsshak3)

A chord of a circle is 24cm long.If the chord is 5cm from th centre of the... (answered by ankor@dixie-net.com,josmiceli)