StudySquare
Angles and circles for AQA A-level Maths
This page covers the following topics:
1. Angle at the centre of the circle
2. Angles subtended by a semicircle
3. Angles in the same segment
4. Angles in cyclic quadrilaterals
5. Tangents and radii
The angle subtended at the centre of a circle is twice the angle subtended at the circumference.
The angle at the circumference of a semicircle is 90°.
Angles in the same segment are equal.
The sum of opposite angles in a cyclic quadrilateral is 180°.
A tangent to a circle is always perpendicular to the radius of that circle.
1
The angle subtended at the centre of a circle is 112°. What is the angle at the circumference?
56°
2
What is a cyclic quadrilateral?
A cyclic quadrilateral is a 2D shape with four sides drawn inside a circle with every corner of the shape touching the circumference of the circle.
3
What is the size of angle y?
270°
4
Do semicircles obey the rule that the angle at the centre of a circle is twice the angle subtended at the circumference of the centre?
yes
5
Find the value of x.
30°
End of page