Circle Theorems

Circle Theorems

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Circle Theorem

The angle in a semi-circle is a right angle.

Circle Theorem

The angle at the circumference is double the angle at the centre.

Circle Theorem

The angle between a tangent and a chord is equal to the angle in the alternate segment.

Circle Theorem

Angles in the same segment are equal

Circle Theorem

Circle Theorem

The perpendicular from the centre to a chord bisects the chord.

Circle Theorem

Two tangents from a point to a circle are equal.

Circle Theorem

The tangent to a circle is perpendicular to the radius at the point of contact.

Multiple Choice

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

• 90

• 43

• 47

• 53

Multiple Choice

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

• 50

• 100

• 80

• 90

Multiple Choice

What is the m∠ADB?

• 16^o
• 32^o
• 64^o
• 14^o

Multiple Choice

Calculate x

• 262

• 98

• 252

• 49

Multiple Choice

What part of the circle is present?

• Tangent

• Secant

• Chord

• Diameter

Multiple Choice

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

• 63

• 126

• 54

• 90

Multiple Choice

What is the value of x and y?

• x=75°; y=93°

• x=65°;y=104°

• x=75°; y=94°

• x=65°; y=93

Multiple Choice

What is the size of angle x?

• 19^o
• 76^o
• 39^o
• 38^o

Multiple Choice

what are the values of c and d?

• c = 218, d = 71

• d = 109, c = 71

• c = 142, d = 218

• c = 142, d = 109

Multiple Choice

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

• 35

• 70

• 55

• 110

Multiple Choice

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

• 19

• 38

• 76

• 52

Multiple Choice

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

• 100

• 80

• 109

• 71

Multiple Choice

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

• 50

• 100

• 80

• 90

Let's see what you've learned...