Table of Contents
What are the degrees A B and C of a circle?
Answer degrees A, B and C are points on the circumference of a circle with centre O. BOC is a straight line. Angle ABC = 200 Not dravm accurately (1) (2) (Total 4 marks) Page 6 of 11
What are the points on the circumference of a circle?
1. (a) A, B and C are points on the circumference of a circle, centre, O. AC is the diameter of the circle. Write down the size of angle ABC.
What is the value of angle ADB?
Answer Calculate the value of y. Z.’ Answer degrees A and C are points on the circumference of a circle centre B. AD and CD are tangents. Angle ADB = 400. Not drawn accur&ely 400 Explain why angle ABC is 1000.
What are the properties of angles in a circle?
Angle Properties of Circles Angle in a semi-circle is a right angle. Angles in the same segment are equal. Angle at the centre of the circle is twice the angle at the circumference. Angles in opposite segments are supplementary/cyclic quadrilaterals. Angle between the tangent and radius/diameter of a circle is right angle Alternate segment theorem
What is the meaning of a B B C and D?
A, B, C and D are points on a circle, centre O. AC is a diameter of the circle. AT is a tangent to the circle. www.justmaths.co.uk Circle Theorems (H) – Version 2 January 2016
How do you find the angle subtended by the arc AB?
If the chord AB is a diameter, then the two arcs are called semicircles. Otherwise, one arc is longer than the other − the longer arc is called the major arc AB and the shorter arc is called the minor arc AB. Now join the radii OA and OB. The reflex angle AOB is called the angle subtended by the major arc AB.
What is the reflex angle at the centre of the circle?
The tangent PT touches the circle at C. The reflex angle at the centre of the circle is 280°. Name: Total Marks: www.justmaths.co.uk Circle Theorems (H) – Version 2 January 2016 Diagram not drawn to scale Find the size of\$\#̂\\%. You must give a reason for your answer.