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# SQA National 5 Maths Angles and circles 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. # ✅

The angle at the centre of a circle is 84°. What is the angle at the circumference? # ✅

Find the value of x. # ✅

A circle is cut in half by a straight line to form a semicircle. What is therefore the size of the angle formed at the centre? # ✅

Find the size of angle y. # ✅

Calculate the angles x and y. # ✅

What is the sum of all angles in a cyclic quadrilateral? # ✅

What is the size of angle x? # ✅

Calculate the value of p. # ✅

The surface area of a circle is doubled. What happens to the angle between the tangent and radius on the new circle? # ✅

What is the size of angle y?  Have you found the questions useful?