Question

1. A chord is 22 cm long. It is 60 cm from the center of the circle.

What is the radius of the circle?
Please answer with formula/explanation Thanks!

Answer 1

Radius, r = 61 cm

Explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

`r^2=60^2+11^2\\\\r=61\ cm`

So, the radius of the circle is 61 cm.