Other Graphs: Quiz 5
You may use a calculator for all of the questions in this quiz.
1) A circle has the equation y2 + x2 = 25.
a) What is the radius of the circle?
b) What is the centre of the circle?
c) Draw a quick sketch of the circle clearly showing the coordinates of the points where the circle passes through the x and y
2) A circle has the equation y2 + x2 = 49.
a) What is the radius of the circle?
b) What is the centre of the circle?
c) Draw a quick sketch of the circle clearly showing the coordinates of the points where the circle passes through the x and y
3) A circle with a centre at the origin is sketched below.
Write an equation for the circle.
4) A circle with a centre at the origin is sketched below.
Write an equation for the circle.
5) A circle has a centre at the origin and it passes through the point (3, 4).
a) Draw a rough sketch of the circle labelling the point (3, 4).
b) What is the length of the radius?
c) Write an equation for the circle.
6) A circle has a centre at the origin and it passes through the point (-6, -7).
a) Draw a rough sketch of the circle labelling the point (-6, -7).
b) What is the length of the radius? Give your answer to one decimal place.
c) Write an equation for the circle.
7) A circle has a centre at the origin and it passes through the point (12, -9). What is the area of the circle? Give your answer in square units and to one decimal place.