CAIE IGCSE Mathematics Core C4.7 Circle Theorems

Covered syllabus points

[Maximum number: 1]

The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference.

Give a geometrical reason why angle PRQ is $90^{\circ}$ .

[Maximum number: 2]

NOT TO SCALE

The diagram shows points D, E and F on the circumference of a circle. DF is a diameter of the circle.

Find angle EDF.

$41^\circ$
M1 for 180-90-49 oe or angle DEF identified as $90^\circ$

[Maximum number: 2]

NOT TO SCALE

The diagram shows a circle, centre O, diameter AB. A, B and C lie on the circumference of the circle.

Find the value of x.
Give a geometrical reason for your answer.
x=
because

58
Angle in a semicircle $=90^\circ$
B1 for each

All question bank results loaded