Question

A chord of length 6 cm is drawn in a circle of diameter 10 cm. Its distance from the centre of the circle is ______.

Options

• 3 cm

• 4 cm

• 5 cm

• 8 cm

Answer 1

A chord of length 6 cm is drawn in a circle of diameter 10 cm. Its distance from the centre of the circle is 4 cm.

Explanation:

Diameter = 10 cm so radius r = 5 cm.

The perpendicular from the centre to the chord bisects the chord.

So, half the chord = `6/2` = 3 cm. 

In the right triangle formed

d² + 3² = 5² 

So, `d = sqrt(25 - 9)`

= 4 cm