Question

find the length of a chord which is at a distance of 24 cm from the centre of a circle whose diameter is 50 cm​

Answer 1

the length of chord is 14cm

I hope it helps u

Answer 2

Given,

Distance between the cord and the centre of the circle = 24 cm

Diameter of the circle = 50 cm

To find,

The length of the given cord.

Solution,

If we imagine the perpendicular distance as the height, radius of the circle as hypotenuse and half of the length of the given cord, then a right angle triangle will be formed.

Height = Distance between the centre and the cord = 24 cm

Hypotenuse = Radius of the circle = 50/2 = 25 cm

Base = Half of the length of the cord = x cm

(Assume, x as a variable to do the further mathematical calculations.)

According to the Pythagoras theorem,

(x)² + (24)² = (25)²

x² = 625-576

x² = 49

x = 7

Length of the cord = 2x = 7×2 = 14 cm

Hence, the length of the cord is 14 cm.