Show me the your understantd: Circle Theorem

Find the size of each lettered angle

• A= 65, b= 75, c=40

• A= 75, b= 65, c=40

• A= 40, b= 75, c=65

Find the size of each lettered angle

• d=58, e=43, f=79

• d=79, e=58, f=43

• d=79, e=43, f=58

Find the size of each lettered angle.

• g=76, h=41, i=76

• g=41, h=76, i=76

• g=41, h=76, i=41

ATB is a tangent to each circle with centre O. Find the size of each angle.

• x = 34°

  y = 11°

  z = 15°

• x = 65°

  y = 69°

  z = 46°

• x = 46°

  y = 69°

  z = 65°

Find the value of the angle marked x....

• 90

• 43

• 47

• 53

Find the value of the angle marked x....

• 90

• 43

• 47

• 53

Find the value of the angle marked x....

• 90

• 45

• 50

• 100

Name the pictured part of the circle.

• Diameter

• Sector

• Radius

• Chord

• Arc

Which theorems can be applied here?

• Angle between a tangent and a chord is equal to the angle at the circumference in the alternate segment

• Angle in a semi-circle is 90°

• Angles created by triangles are equal if they are in the same segment

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x.

• x=32

• x=29

• x=58