Question

radius of a circle is 34 cm and distance of the chord from the centre is 30 cm find the length of the chord

Answer 1

I hope this is the answer

Answer 2

Answer:

Length of the chord, l = 32 cm

Step-by-step explanation:

In the question,

Radius of the circle, r = 34 cm

Distance of the chord from the centre, d = 30 cm

Now,

We know that the perpendicular drawn from the centre of the circle to the chord bisects the chord into two equal parts.

So,

Let us take the length of the chord be = l

So,

Using the Pythagoras theorem we get,

$r^{2}=d^{2}+(\frac{l}{2})^{2}$

So, on putting the values we get,

$34^{2}=30^{2}+(\frac{l}{2})^{2}\\1156-900=(\frac{l}{2})^{2}\\(\frac{l}{2})^{2}=256\\So,\\l=32\ cm$

Therefore, the value of the length of the chord is given by,

l = 32 cm