Question

Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6 cm.

Answer 1

Given that and , find the length of chord AB.

Let AB be a chord of a circle with centre O and radius 6 cm such that

We draw and join OA.

Since, the perpendicular from the centre of a circle to a chord bisects the chord.

Now in we have

$\Rightarrow AL=\sqrt{20}=4.47$

$$\begin{gathered} AB=2\times AL \\ =2\times 4.47 \\ =8.94\mathrm{cm} \end{gathered}$$

Hence the length of the chord is 8.94 cm.