Question

From a point on a circle, two perpendicular chords are drawn. One is 6 cm from the center and the other one is 3 cm from the center. Find the lengths of these chords.

Answer 1

The chord 3cm away is 12cm and chord 6cm away is 6cm.
The two perpendicular chords will create a rectangle with the center. each side will be half of the parallel sides length. sketch attached.

Answer 2

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Suppose a Point P on the circle, from two chords are made PA and PB.

AB will be the diameter because both chords are making 90 degrees with each other.

Distance CO and OD are 3 and 6 respectively.

OCPD is a rectangle.

`AP = 2 CP = 2 OD = 2 * 6 = 12`

Similarly,

`BP = 2 DP = 2 OC = 2 * 3 = 6`

Hence both chors are 6 and 12 cms. : Answer

Hope it will help :)