Circle Theorem Tangent and Chord

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

• 38

• 52

• 90

• 72

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

• 5x

• 90

• 15

• 180

extension

Diagram shows a tangent to a circle with centre O. Find x and y in each case

• x = 12°

  y = 156°

• x = 100°

  y = 50°

• x = 62°

  y = 28

• x = 30°

  y = 60

extension

diagram shows a tangent to a circle with centre O. Find x and y in each case

• x = 12°

  y = 156°

• x = 100°

  y = 50°

• x = 62°

  y = 28

• x = 30°

  y = 60°

Find the value of x.

• 10

• 181

• 34

• 40

If two tangents are drawn to a circle from an external point, what is the relationship between these two tangents?

• They are congruent.

• They are perpendicular.

• They intersect at the center.

• They are parallel.

Which is secant?

Extension

Diagram shows a tangent to a circle with centre O. Find x and y in each case

• °x = 12°

  y = 156

• x = 100°

  y = 50°

• x = 62°

  y = 28°

• x = 30°

  y = 60°

• y = 6cm

• y = 10.77cm

• y = 3.21cm

• y = 8cm