Question

find the length of a chord which is a distance of 3cm from the centre of a circle of radius 5cm

Answer 1

is the answer 8 cm ???
By , 5 square - 3 square
= 25 - 9
= 16cm
so half cord lenghth = √16= 4 cm
so full lenghth of chord = 4+4 cm = 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.

$\huge{\sf{\boxed{\boxed{Solution:}}}}$

(Let AOC is a right angled triangle.)

$\bold{By\: Using\: Pythagoras\: theorem}$

⇒ 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.