Worksheet: Tangents of a Circle
In this worksheet, we will practice using the properties of tangents of circles to find missing angles or side lengths.
What is the name of a line that meets a circle in exactly one point?
In the figure below, circle, , , , and is a tangent, find the perimeter of the figure .
Given that is a tangent to the circle and , find .
Given that is a tangent to the circle at , , and is the midpoint of , find .
Given that , find the length of rounding the result to the nearest hundredth.
Given that is a tangent to the circle at , , , and , determine the perimeter of .
Given that is a tangent to the circle , Find the perimeter of .
Suppose that, in the figure, is tangent to the circle at , , and . What is the length of ?
If two circle intersect at two points, how many common tangents do they have?
If I draw two tangent segments from a point outside the circle, are they equal in length?
If two circles lie outside each other, how many common tangents do they have?
If I draw two tangents to a circle, one from each end of a diameter, are the tangents parallel?
Given that and are two tangent segments to a circle at the points and , and , determine the length of .
In the figure, line is tangent to the circle at . What is the length ?
Given that is a tangent to the circle , find the length of .
In the figure, is tangent to circle at , meets the circle at , , and . Find the circle’s diameter to the nearest tenth.
Line is tangent to circle at . Given that , , what is ?
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 .