Circle Geometry Revision

Solve for a.

• 6
• 6.67
• 8.33
• 10

Tags

CCSS.HSG.C.A.2

Find x.

• 4.4
• 8.3
• 9.4
• 8.8

Tags

CCSS.HSG.C.A.2

What is the value of x with a reason?

• $112\degree$

• $56\degree$

• The angle at the center is equal to twice the angle at the circumference.

• The angle at the center is equal to the angle at the circumference.

Tags

CCSS.HSG.C.A.2

A, B and C are points on the circle, centre O.

Find the obtuse angle AOC.

• 100

• 260

• 65

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 and the value of y.

• x=32 , y= 58

• x=29, y=58

• x=32 , y=32

Tags

CCSS.HSG.C.A.2

The diagram shows the vertices of a triangle lying on the circumference of a circle with centre O.

Find the value of b.

Give a reason for your answer.

• b=90

  angle in a semicircle is 90°

• b=29

  angle in a semicircle is 90°

• b=30

  sum of interior angles of triangle is 180°

A, B and C are points on the circle, centre O.

AB and OC intersect at P.

Find the value of w.

• 55

• 21

• 73

A, B, C and D are points on the circumference on a circle.Find the size of angle DAB.

• 118

• 62

• 85

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

CCSS.HSG.C.B.5

A, B and C are three points on the circumference of another circle.O is the centre of the circle.Angle AOB = 112°. Work out the size of angle ACB.

• 224

• 56

• 68

A, B, C and D are points on the circumference of a circle.Find x, the size of angle ACD. Give a reason for your answer.

• x= 50 same segment

• x=50 . angle in the semicircle is 90

• x=130, cyclic quadrilateral