A chord is 3cm from the centre of a circle of radius 5cm. The length of the chord is _____?

A chord is 3cm from the centre of a circle of radius 5cm. The length of the chord is _____?

Explanation

To find the length of the chord, we can use the formula:

Length = 2 * √(r² - d²)

where r is the radius and d is the distance from the center.

Given:

r = 5 cm

d = 3 cm

Length = 2 * √(5² - 3²)

= 2 * √(25 - 9)

= 2 * √16

= 2 * 4

= 8 cm