Practice: Angle formed by the Diameter

Q. The line passes through the center of the given circle. Find the angle ∠Y.

degrees

Q. For the given dimensions in the following figure, find the length of XW.


Here, P is the center of the circle.

1. $\sqrt{3}$ units
2. $\sqrt{11}$ units
3. $\sqrt{13}$ units
4. $13$ units

Q. Find the possible length pairs of AC and CB, for the following diagram. Here, O is the radius of the circle.

1. 3 units and 4 units , respectively.
2. Both as 5 units.
3. 4 units and 3 units , respectively.
4. Both as 7 units.

Q. Find the area of the given triangle $△XYZ$ in arbitrary units whose one of the sides passes through the center of the circle.

1. $10$
2. $20$
3. $10{\text{unit}}^2$
4. $20{\text{unit}}^2$

Q. In the given figure, if $AB=3\text{units},AD=4\text{units},\angle HEG={130}^o$ and $DF=3\text{units},$ find the length of $BG.$
Here, C and E are the centers of respective circles.

1. Insufficient data.
2. Between 2 to 4 units.
3. Between 5 to 7 units.
4. Between 7 to 10 units.

Q. What is the value $x$ and $y$?

1. ${15}^{\circ },{15}^{\circ }$
2. ${15}^{\circ },{18}^{\circ }$
3. ${18}^{\circ },{15}^{\circ }$
4. ${18}^{\circ },{18}^{\circ }$