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

O is the centre of the circle as shown in the figure, ORP=35 and the distance between P and Q through 'O' is 4 cm. What is the measure of ROQ?


A

55

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

35

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

105

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

70

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

70


Since line segment PQ passes through the centre O, so PQ is the diameter of the circle.

PQ=4 cm=2×OQ=2× radius,
On joining RQ. PRQ=90 [ Angle subtended by diameter on the circle is 90]
ORQ=9035=55
But, OR=OQ
ORQ=OQR=55
y=180(55+55)=70 [Sum of angles of a triangle is 180]


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle in a semi circle is Right Angle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon