Question 105

A chord of length 30 cm is at a distance of 8 cm from the centre of a circle. The radius of the circle is:

Solution

Given : AC = 30 cm and OB = 8 cm

To find : OC = ?

Solution : AB = $$\frac{AC}{2}$$ = 15 cm

In right $$\triangle$$OBC

=> OC = $$\sqrt{(OB)^2 + (BC)^2}$$

=> OC = $$\sqrt{8^2 + 15^2}$$ = $$\sqrt{64 + 225}$$

=> OC = $$\sqrt{289}$$ = 17 cm

Video Solution

video

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App