wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.

Open in App
Solution

Perpendicular drawn from the centre of the circle to the chord bisects the chord.
So, PD=12CD=482=24 cm
In OPD,
We apply the Pythagoras theorem,
OP2+PD2=OD2OP2+242=252OP2=252-242=625-576=49OP2=49OP=7 cm
Hence, the distance of the chord CD from the centre O is 7 cm.

flag
Suggest Corrections
thumbs-up
50
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 4
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon