Tangents Right Triangles in Circles

In the figure, O is the Centre of the circle. A is a point on the circle. Tangent AP=15cm, OP=17cm. Then the diameter of the circle is

• 4cm

• 8cm

• 12cm

• 16cm

In the figure AP and BP are tangents and O is the Centre of the circle. If ∠APB=80⁰. then ∠AOB is equal to

• 40⁰.

• 80⁰.

• 50⁰.

• 100⁰.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x? (HINT: Remember tangent lines and circles create right triangles)

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

• 15

• 6

• -24

• 14

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?"

• 15

• 6

• -24

• 14

• 7.9

Mathematical Equivalence

OFF

Line ST is a tangent to the circle at point P. What is the measure of angle (x + y)?

• 79

• 80

• 86

• 90

• 54

• 90

• 306

• 126

• F

• G

• H

• J

• K