Question : A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. The radius of the circle is:

Option 1: 13 cm

Option 2: 12 cm

Option 3: 16 cm

Option 4: 15 cm


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

Correct Answer: 13 cm


Solution :
Let O be the centre of the circle.
Let AB be the chord of length 24 cm
Let OD be perpendicular from the centre to the chord AB of length 5 cm.
We know the perpendicular from the centre to a chord bisects the chord.
So, AD = BD = 12 units
Applying Pythagoras theorem in triangle OBD,
OB 2 = OD 2 + DB 2
⇒ OB 2 = 5 2 + 12 2
⇒ OB 2 = 169
⇒ OB = 13
Hence, the correct answer is 13 cm.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books