Question

Find the length of the chord which is not at a distance of 3cm from the Centre of the circle of the radius 5cm

Answer 1

Answer is 8cm applying Pythagoras theorem
radius bisects the chord so radius would become hypotenuse and the distance would be a side
and you know the other side would be 4 cm so the chord would be double of that that is 8 cm

Answer 2

Answer:

Given that:-

• 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,

$\bold{The\: length \:of\: the \:chord \:is\: 8cm.}$