Question

A circle is radius 5cm find the length of the chord of distance 3cm from its centre​

Answer 1

Answer:

The length of the chord of distance 3cm from its centre is 8cm.

Step-by-step explanation:

Given radius of the circle (AC) = 5 cm  

AO =3 cm

Consider the triangle AOC, which is a right angled triangle.

By applying Pythagoras theorem, we can write,

Taking square root,  

OC = 4,

Therefore the length of the chord = 4 + 4 = 8 cm.

Answer 2

Answer:

Step-by-step explanation:

Given :-

Radius of the Circle, (r) = 5 cm

Distance of the chord from the centre = 3 cm

To Find :-

Length of the chord

Formula to be used :-

Pythagoras theorem

Solution :-

Let AOC is a right angled triangle.

By Using Pythagoras theorem, we get

⇒ AO² + OC² = AC²

⇒ 3² + OC² = 5²

⇒ 9 + OC² = 25

⇒ OC² = 25 - 9

⇒ OC² = 16

⇒ OC = 4

Length of the chord = 4 + 4 = 8 cm.

Hence, the length of the chord is 8 cm.