Question : The length of the chord AB of a circle is equal to the radius of the circle. What will be the angle subtended by the chord at the centre of the circle?
Option 1: 40°
Option 2: 60°
Option 3: 30°
Option 4: 50°
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 60°
Solution :
Given that the length of the chord AB (d) is equal to the radius (r), we can substitute r for d in the formula:
$\theta = 2 \times \sin^{-1}(\frac{\text{Length of chord}}{2 \times \text{radius}})$
This simplifies to:
⇒ $\theta = 2 \times \sin^{-1}(\frac{r}{2r})$
⇒ $\theta = 2 \times \sin^{-1}(\frac{1}{2})$
⇒ $\theta = 2 \times 30º$
⇒ $\theta = 60º$
Hence, the correct answer is 60º
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
