Practice: Angle subtended by arc at centre and on circle
Trending Questions
Q. Given that arc, AB subtends an angle of 40∘ to the center of a circle. The angle made by arc AB in the remaining part of the circle is![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1194665/original_588651.PNG)
- 20∘
- 80∘
- 60∘
- 100∘
Q. If m∠AOC=135∘, then x=?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1194719/original_590094.JPG)
- 22.5∘
- 45∘
- 35∘
- 60∘
Q. ![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399368/original_22octp19.png)
In the figure, O is the centre of the circle. Find ∠ABC.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399368/original_22octp19.png)
In the figure, O is the centre of the circle. Find ∠ABC.
- 160o
- 100o
- 90o
- 80o
Q. The theorem says that "The measure of an exterior angle of a triangle is sum of the interior opposite angles". Select the correct option from the followings
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1203674/original_636840.PNG)
- ∠POQ=2∠PAQ
- ∠POQ=2∠PAB
- ∠POQ=2∠QAB
- ∠POQ=∠PAQ
Q. In the adjoining figure, angle subtended by the arc AB at the center of smaller and bigger cirles are 60∘ and 40∘ respectively, then ∠CAD is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1203768/original_636984.PNG)
- 80∘
- 130∘
- 120∘
- 100∘
Q. ![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399301/original_22octp17.png)
In the figure, BC is the diameter, PQ is the tangent, O is the centre of circle and ∠BAQ=65o.
Find ∠AOC.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399301/original_22octp17.png)
In the figure, BC is the diameter, PQ is the tangent, O is the centre of circle and ∠BAQ=65o.
Find ∠AOC.
- 25o
- 65o
- 50o
- 30o
Q. If O is the centre of the circle, find ∠ABC in the figure given below.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399210/original_22octp15.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399210/original_22octp15.png)
- 31o
- 30o
- 62o
- 124o
Q. If β is the angle subtended at the center and α is the angle subtended at a point on the circumference of the circle, then α=
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1194668/original_589054.PNG)
- β
- β2
- 2β
- 3β
Q. If m∠OAB=50∘, then sum of angles x, y and z is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1213029/original_Q101.jpg)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1213029/original_Q101.jpg)
- 170∘
- 160∘
- 150∘
- 180∘
Q. ![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399189/original_22octp13.png)
In the above figure, if O is the centre of the circle then which of the following is correct?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399189/original_22octp13.png)
In the above figure, if O is the centre of the circle then which of the following is correct?
- x+y=z
- x=y=z
- x+y=2z
- 2(x+y)=z
Q. In the given figure,
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399123/original_22octp11.png)
O is the centre of the circle and X, Y and Z are points on circumferemce of the circle such that ∠XZY=23o. Then ∠XOY is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1399123/original_22octp11.png)
O is the centre of the circle and X, Y and Z are points on circumferemce of the circle such that ∠XZY=23o. Then ∠XOY is
- 23o
- 24o
- 30o
- 46o