From a point Q, the length of the tangent to a circle is 20 cm and the distance of Q from the centre of the circle is 25 cm. The radius of the circle is:

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
View all SSC CGL Papers >
  1. 5 cm
  2. 10 cm
  3. 15 cm
  4. 12.5 cm

Answer (Detailed Solution Below)

Option 3 : 15 cm
ssc-cgl-offline-mock
Free
SSC CGL Tier 1 2025 Full Test - 01
3.8 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

GIven:

From a point Q, the length of the tangent to a circle is 20 cm and the distance of Q from the centre of the circle is 25 cm.

Calculation: 

Let radius is r

By Pythagoras theorem,

⇒ 252 = r2 + 202

⇒ r2 = 252 - 202

⇒ r2 = 225

⇒ r = 15

The radius of the circle is 15cm

Latest SSC CGL Updates

Last updated on Jul 22, 2025

-> The IB Security Assistant Executive Notification 2025 has been released on 22nd July 2025 on the official website.

-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.

-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.

-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post. 

-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

More Circle Questions

Get Free Access Now
Hot Links: teen patti star login teen patti game teen patti 100 bonus teen patti master 2025 online teen patti real money