CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.


Open in App
Solution

The chord ABis equal to the radius of the circle.

OAand OBare the two radii of the circle.

From ΔOAB.

AB=OA=OB= radius of the circle.

ΔOABis an equilateral triangle.

AOC=60°

And,ACB=12AOB

So, ACB=12×60°=30°

Now, ACBDis a cyclic quadrilateral,

ADB+ACB=180°(Since they are the opposite angles of a cyclic quadrilateral)

So, ADB=180°-30°=150°

Hence, the angle subtended by the chord at a point on the minor arc and also at a point on the major arc is 150°&30° respectively.


flag
Suggest Corrections
thumbs-up
466
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Terms Related to Circles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon