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

An equilateral ΔABC is inscribed in a circle with centre O. The measure of BOC is :

A
110
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
100
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
120
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
130
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 120

ABC is an equilateral triangle inscribe in circle with center O.

ABC=BCA=BAC=60o [ Angles of an equilateral triangle ]

Chord BC subtends BOC at the center and BAC on the circle.

Angle subtended at the center of circle is double at any point on circumference of circle.

BOC=2BAC

BOC=2×60o

BOC=120o.


1371097_84598_ans_3e00dfb0a58a406b863a89af5889cf1d.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Properties of a Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon