1) 4.47 cm
2) 44°
3)
a) 106°
Reason: the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
b) 53°
c) 37°
2) 44°
3)
a) 106°
Reason: the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
b) 53°
c) 37°
Working
Questions
You may use a calculator for the following questions. All of the diagram in the questions are not drawn to scale.
1) The circle below has a radius of 6 cm. The chord AB is 8 cm.
You may use a calculator for the following questions. All of the diagram in the questions are not drawn to scale.
1) The circle below has a radius of 6 cm. The chord AB is 8 cm.
How far is the midpoint of the chord from the centre of the circle? Give your answer to 3 significant figures.
2) The circle below has a radius of 9 cm. The chord CD is 13 cm.
2) The circle below has a radius of 9 cm. The chord CD is 13 cm.
a) What is the size of angle 0CD? Give your answer to the nearest integer.
3) Line AB is a chord.
3) Line AB is a chord.
a) What is the size of angle A0B? Give a reason for your answer.
b) What is the size of angle BOC?
c) What is the size of angle OBA?
b) What is the size of angle BOC?
c) What is the size of angle OBA?