7 Views

Question : The sum of the angles made by a chord at the centre and on the major arc of a circle is 180 degrees. What will be the angle made at the centre of the circle?

Option 1: 60 degrees

Option 2: 90 degrees

Option 3: 75 degrees

Option 4: 120 degrees


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 120 degrees


Solution : The angle at the center is twice the angle at the major arc.
Let the angle made at the centre be $2xº$
Angle made at major arc = $x°$
$⇒ 2xº + xº = 180º$
$⇒ 3xº = 180º$
$⇒ xº = 60º$
$⇒ 2xº = 120º$
Therefore, the angle made at the centre of the circle is 120º.
Hence, the correct answer is 120 degrees.

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