Question

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

Answer 1

Step-by-step explanation:

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Yes

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.