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3.07 Circles and semi-circles

Interactive practice questions

Consider the circle $x^2+y^2=64$x2+y2=64.

a

State the coordinates of the centre of the circle.

b

What is the radius of the circle?

c

Find the $x$x values of the $x$x-intercepts. Write all solutions on the same line separated by a comma.

d

Find the $y$y values of the $y$y-intercepts. Write all solutions on the same line separated by a comma.

e

Graph the circle.

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Easy
2min

A circle has its centre at the origin and a radius of $4$4 units.

Easy
1min

A circle has its centre at the origin and a radius of $\sqrt{3}$3 units.

Easy
1min

Write the equation for a circle with centre $\left(0,0\right)$(0,0) and radius $3$3 in the form $\left(x-h\right)^2+\left(y-k\right)^2=r^2$(xh)2+(yk)2=r2.

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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