Two concentric circles are of diameters 30 cm and 18 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Match the items on the right to the items on the left.

STEP 1

STEP 2

STEP 3

STEP 4

In the diagram AB is the chord touching the smaller circle. We have the right angled triangle OO'B

Now since the chord of the larger circle which touches the smaller circle is bisected at the point of contact

We have

AB= 2 × 24= 48 cm