Drawing the graph for the equation of a circle | Exit Quiz | Oak National Academy

Select the general form of the equation of a circle centred at the origin.

Match each equation of a circle to the radius of the circle.

• 5

• 1

• 4

• 6

• 3

• (6, 8)

• (10, 0)

• (4, 6)

• (12, -2)

• (8, -6)

What is the equation of this circle?

Jun draws a line and a circle on the same pair of axes to solve the equations of the line and circle simultaneously. How many possible solutions are there to the simultaneous equations?

• 0

• 1

• 2

• 3

• 4

Answer explanation

The line could intersect the circle twice, so there are 2 solutions. Or the line could just touch the circle, so there is 1 solution. Or the line could completely miss the circle and not intersect it at all, so there could be no solutions.