**Q3: **

Find the value of .

**Q4: **

In the following figure, the line that appears to be tangent is tangent. Find , and then find to the nearest tenth.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q5: **

What is the name of a line that meets a circle in exactly one point?

- Aradius
- Bchord
- Carc
- Dtangent
- Esegment

**Q6: **

In the figure, the circle has radius 5 cm. Given that is tangent at , , and , determine the length of .

- A cm
- B 16 cm
- C cm
- D 4 cm

**Q7: **

A circle with center has a radius of 20 cm, and is tangent to the circle at . A point lies on both the circle and the line segment . If , find .

**Q8: **

Given that and are two tangents, find the length of .

**Q9: **

Given that , find and to the nearest thousandth.

- A ,
- B ,
- C ,
- D ,

**Q10: **

Given that and are two tangent segments to a circle at the points and , and , determine the length of .

**Q11: **

and are tangents to circle at and . If the radius of the circle is 6 cm and , find the lengths of and .

- A = cm, = 12 cm
- B = cm, = cm
- C = cm, = cm
- D = 12 cm, = cm

**Q12: **

The two circles and are touching externally. is a common tangent to them at and respectively, is a common tangent to them at and respectively. Given that , and , find and .

- A ,
- B ,
- C ,
- D ,

**Q13: **

Given that , determine the lengths of and .

- A ,
- B ,
- C ,
- D ,

**Q14: **

In the figure, is tangent to circle at , , , and . Find to the nearest tenth.

**Q15: **

Lines and are tangents to circle . If , what is ?

- A
- B
- C
- D

**Q16: **

Find the length of .

**Q17: **

Given that and are two tangents to the circle at the points and , respectively, determine .

- A
- B
- C
- D

**Q18: **

In the figure, is tangent to circle at , meets the circle at , , and . Find the circleβs diameter to the nearest tenth.

**Q19: **

If I draw two tangent segments from a point outside the circle, are they equal in length?

- Ayes
- Bno

**Q20: **

If I draw two tangents to a circle, one from each end of a diameter, are the tangents parallel?

- Ayes
- Bno

**Q21: **

Line is tangent to circle at . Given that , , what is ?

**Q22: **

Line is tangent to circle at . Given that , , what is ?

**Q23: **

In the figure, line is tangent to the circle at . What is the length ?

**Q24: **

If two circle intersect at two points, how many common tangents do they have?

**Q25: **

If two circles lie outside each other, how many common tangents do they have?