SOLUTION: AB and CD are parallel chords of a circle of radius 10cm, their length are 18cm and 5cm respectively. how far apart are AB and CD. If, a. they are on the same side of the centre.

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Question 1123292: AB and CD are parallel chords of a circle of radius 10cm, their length are 18cm and 5cm respectively. how far apart are AB and CD. If,
a. they are on the same side of the centre.
b. they are on opposite side of the centre.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Draw the circle with the two parallel chords, and draw the diameter of the circle that is parallel to the two chords. Draw the radius that is perpendicular to the two chords, and draw a radius to one endpoint of each of the chords.

The distance of the 18cm chord from the center of the circle is the other leg of a right triangle with one leg 9 and hypotenuse 10; that distance is sqrt%2819%29.

The distance of the 5cm chord from the center of the circle is the other leg of a right triangle with one leg 2.5 and hypotenuse 10; that distance is 5%2Asqrt%2815%29%2F2.

If the two chords are on the same side of the center, then the distance between them is 5%2Asqrt%2815%29%2F2-sqrt%2819%29.

If the two chords are on opposite sides of the center, then the distance between them is 5%2Asqrt%2815%29%2F2%2Bsqrt%2819%29.