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3.03 Graphs of circles

Interactive practice questions

Consider the following.

a

Plot four points such that they are all exactly $4$4 units away from the origin.

Loading Graph...
b

Considering the four points plotted in the previous part, what shape is formed by connecting the points with four straight paths?

triangle

A

quadrilateral

B

circle

C
c

As the number of points we plot and connect increases towards infinity, what shape do we approach?

octagon

A

circle

B

decagon

C
Easy
1min

Consider the graph of the circle shown below.

Easy
< 1min

Consider the circle in the graph.

Easy
< 1min

Consider a circle with centre at $\left(5,4\right)$(5,4) and radius $4$4.

Easy
1min
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Outcomes

1.2.5.1

recognise and determine features of the graphs of 𝑥^2+𝑦^2=𝑟^2 and (𝑥−𝑎)^2+(𝑦−𝑏)^2=𝑟^2, including their circular shapes, centres and radii

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