and are points on the .................................................. of the circle, centre .
[1]
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Syllabus Edition
First teaching 2021
Last exams 2024
[1]
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and are points on the circumference of the circle, centre .
The straight line touches the circle at .
Write down the mathematical name for the line .
On the circle, draw a radius.
Complete the following statements.
[2]
[2]
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and are points on the circumference of a circle, centre .
Write down the mathematical name for
[1]
Give a geometrical reason why angle .
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In the diagram, and are points on the circle, centre .
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In the diagram, and are points on the circumference of a circle, centre .
is a straight line touching the circle at only and is a straight line through .
Complete the statement.
Angle = ................ because ...........................
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and are points on a circle.
is a diameter of the circle.
Find the value of .
.............................
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The diagram shows the vertices of a triangle lying on the circumference of a circle with centre .
Find the value of .
Give a reason for your answer.
= .................... because..............................
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The points and lie on the circumference of a circle, centre .
is a tangent to the circle and angle .
Find the value of and the value of .
.................................
................................
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The points and lie on the circumference of a circle, centre.
is a tangent to the circle.
Find the value of and the value of .
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A, B and C are points on the circumference of a circle with diameter AB.
A tangent is drawn at A.
Find angle BAC,
Angle BAC = ................................................
Find angle ABC.
Angle ABC = ................................................
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and are points on the circle, centre .
is a tangent to the circle at .
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The diagram shows a circle, centre with diameter .
Angle = 63°.
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The diagram shows a circle, centre , with diameter .
and lie on the circumference of the circle.
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K, L and M are points on the circle.
KS is a tangent to the circle at K.
KM is a diameter and triangle KLM is isosceles.
Find the value of .
................................................
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The diagram shows a circle, centre O, with points B and D on the circumference.
The line AC touches the circle at B.
OB is parallel to DC and angle OAB = 49°.
[1]
Angle AOB = ................................................ [1]
[1]
Triangle AOB is ................................................................. to triangle ADC. [1]
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