Lesson Worksheet: Tangents of a Circle Mathematics
In this worksheet, we will practice using the properties of tangents of circles to find missing angles or side lengths.
Q2:
What is the name of a line that meets a circle in exactly one point?
- Atangent
- Bsegment
- Cchord
- Darc
- Eradius
Q7:
In the figure below, circle, , , , and is a tangent, find the perimeter of the figure .
Q8:
Given that is a tangent to the circle and , find .
Q10:
Given that is a tangent to the circle at , , and is the midpoint of , find .
Q11:
Given that , find the length of rounding the result to the nearest hundredth.
Q12:
Given that is a tangent to the circle at , , , and , determine the perimeter of .
Q13:
Given that is a tangent to the circle of center , find the perimeter of .
Q14:
Suppose that, in the figure, is tangent to the circle at , , and . What is the length of ?
Q15:
If two circle intersect at two points, how many common tangents do they have?
Q16:
If I draw two tangent segments from a point outside the circle, are they equal in length?
- AYes
- BNo
Q17:
If two circles lie outside each other, how many common tangents do they have?
Q18:
If I draw two tangents to a circle, one from each end of a diameter, are the tangents parallel?
- AYes
- BNo
Q19:
Given that and are two tangent segments to a circle at the points and , and , determine the length of .
Q21:
In the figure, line is tangent to the circle at . What is the length ?
Q22:
Given that is a tangent to the circle , find the length of .
Q23:
In the figure, is tangent to circle at , meets the circle at , , and . Find the circle’s diameter to the nearest tenth.
Q24:
Line is tangent to circle at . Given that , , what is ?
Q25:
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,