Circle Theorems Worksheets and Answers

Circle Theorem Worksheets

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Circle Theorems Practice Worksheets

There are 4 circle theorems worksheets below. Circle theorems worksheet 1 describes circle theorems in words. Circle theorems worksheet 2 calculates angles in circles. Circle theorems worksheets 3 calculates angles in circles involving harder questions. Circle theorems worksheet 4 involves angles at tangents of circles.

Describing Circle Theorems

Students will memorise all of the circle theorems and then practing applying that knowledge to a set of questions. It's important that you have a firm grasp of angles on parallel lines before you move on to circle theorems. You will also have to remember that angles on a straight line and angles in any triangle equal to 180 degrees, and that angles about a point equal to 360 degrees.

Circle Theorems 1

Circle Theorems

The graphic above shows 6 circle theorems. 1) The angle at the center is twice the angle at the circumference. 2) Angles in the same segment are equal. 3) Opposite angles in a cyclic quadrilateral are equal.  4) The angle in a semi-circle is always 90°. 5) The alternate angle theorem. 6) The angle between the tangent and the radius is always 90°.

Circle Theorems Question 1

Circle Theorems Questions 1The angle at the center is twice the angle at the circumference so x equals 44°.

Circle Theorems Question 2

Circle Theorems Questions 2

The angle at the center is twice the angle at the circumference so x equals 132°.

Circle Theorems Question 3

Circle Theorems Questions 3The triangle formed when the radius meets the circumference is isosceles, so a equals 30°. The third angle in the triangle is 120° because angles in a triangle equal 180°. b equals 240° because angles around a point equal 360°.

Circle Theorems Questions And Answers

For Circles Cazoomy Worksheets try: Circles Worksheets. For Trigonometry Cazoomy Worksheets try: Trigonometry Worksheets. For Pythagoras Cazoomy Worksheets try: Pythagoras Worksheets.
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