Understanding constructing a circle | Maths | Quizalize & Oak National Academy

Starter quiz

Which part of the circle is highlighted and labelled with a question mark?

arc ✓

circumference

diameter

radius
What are the co-ordinates of point A?

(-2, 4)

(2, -4)

(-4, 2) ✓

(4, -2)
Izzy tries to draw a circle with a pair of compasses without moving the ruler. The pencil starts at the 2 cm mark on the ruler. Half way around, the pencil touches the ______ cm mark on the ruler.

'14' ✓
The image shows a circle with centre at point A. Sofia draws a circle with radius 2 cm with its centre at point B. How many times will the two circles intersect?

0 ✓

1

2
The diagram is not to scale. Points A, B, C and D lie on a straight line. The distance from A to D is 20 cm. The radius of the large circle is 8 cm; the radius of the small circle is ______.

2 cm ✓

4 cm

6 cm

12 cm
Laura draws two circles. One has a radius 5 cm, the other has a radius 9 cm. The distance between the centre points of each circle is 16 cm. Which image matches Aisha's drawings?

A circle is a shape such that every point is ______ to its centre.

equidistant ✓

horizontal

vertical

vertically opposite
Sam is stood in the centre of a circle. Which pupil is the closest to Sam?

'Jun' ✓
The pair of compasses in the image are used to draw a circle around the origin of the co-ordinate grid. Which point would lie on the circle?

(0, 5)

(-3, 0)

(0, -4) ✓

(0, 0)
The pair of compasses in the image are used to draw a circle around the origin of the co-ordinate grid. The diameter of the circle is ______ units.

'8' ✓
The images show a wrecking ball swinging from a fixed point on a crane. Which image correctly shows the movement of the wrecking ball?
Which arc will the pair of compass draw?

A

B

C

D ✓

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A pair of compasses can be used to draw circle with a particular radius.
All the points on the circle will be the same distance from the centre.
The centre of a circle is the point that is the same distance from every point on the circle.
The collection of points an equal distance from a given point form a circle.

During tasks, pupils may use a ruler to draw or check whether points are equidistant from a centre.

While the tasks could be completed with a ruler, it may be quicker, easier and more accurate to use a pair of compasses.

Fixed point - A fixed point is a point that does not change or move.
Circumference - The circumference of a circle is the perimeter of the circle.
Arc - An arc is part of a curve. An arc of a circle is part of the circle’s circumference.
Equidistant - Points A and B are equidistant from a third point C if the distance AC is equal to the distance BC.