Question : A chord is drawn in a circle of radius 10 cm, if the distance of the chord from the centre is 6 cm, then the length of the chord (in cm) is:
Option 1: 10
Option 2: 12
Option 3: 16
Option 4: 8
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: 16
Solution :
In $\triangle AOS$, AO is the radius.
⇒ $AO = 10$ cm
It is right-angled at S,
Applying Pythagoras theorem, we get,
$AO^2=OS^2+AS^2$
⇒ $10^2=6^2+AS^2$
⇒ $100-36=AS^2$
⇒ $AS^2 = 64$
⇒ $AS=8 $ cm
Now, $AS = \frac{1}{2}×$ Length of the chord
⇒ Length of Chord $= 2\times 8=16$ cm
Hence, the correct answer is 16.
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 “”.
