Lesson Worksheet: Tangents of a Circle Mathematics • 11th Grade
In this worksheet, we will practice using the properties of tangents of circles to find missing angles or side lengths.
Q1:
Line is tangent to a circle of center at the point . Given that and , what is ?
Q2:
Determine and , rounding to the nearest hundredth.
- A12.29 cm, 12.29 cm
- B12.29 cm, 10.73 cm
- C4.09 cm, 16.73 cm
- D10.73 cm, 10.73 cm
Q3:
Find the value of .
Q4:
In the figure below, is the center of the circle, , , , and is a tangent. Find the perimeter of the figure .
Q5:
In the figure, chord of the larger of the concentric circles is tangent to the smaller circle at . Given that the radii of the circles are 26 cm and 16.1 cm, what is the length of to the nearest tenth of a centimeter?
Q6:
Given that , , and , find , rounded to the nearest hundredth.
Q7:
Given that , where and are tangent to the circle at and , find .
Q8:
Given that , determine and .
- A,
- B,
- C,
- D,
Q9:
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,
Q10:
In the following figure, a circle with radius 6 is inscribed in a quadrilateral . If is the midpoint of , , and , find the area of triangle .
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