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

The radius of a circle is 12 cm. If a chord of length 12 cm is drawn then find the area of the smaller segment.

Open in App
Solution

Let AB be the chord and O be the centre of the circle
OA=OB=AB=12 cm
OAB is an equilateral triangle and
<AOB=60
Area of smaller segment = Area of sector AOB - Area of triangle AOB

=60360×π(12)234(12)2

=(24π363) sq units

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 7
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon