Currently viewing the tag: "Circles"
In the diagram the line OS is perpendicular to the lines OR and PQ.
The line RS is a tangent at P to the circle centre O and radius 1 unit.
Find the lengths OQ, PQ, PS, OS, OR and RP.
If OS and OR lie on the coordinate axes, what are the coordinates […]
An aluminium can contains 330 ml of cola.
If the can’s diameter is 6 cm what is the can’s height?
Suppose the can’s height is 10 cm, what does the diameter have to be?
Which of these two cans uses the least aluminium?
If you could choose any diameter which dimensions for the can […]
This is a unit circle with a tangent at A.
The angle marked in the diagram is angle a.
Copy the diagram and find all the angles in terms of the angle a.
Find the six line segments in the diagram corresponding to sina, cosa, tana, 1/sina, 1/cosa and 1/tana.
Find the areas of […]
This shape, which is constructed using four semi-circles, is called a Salinon.
If the radius of the larger blue semicircle is a and the radius of the smaller blue semicircle is b, what are the radii of the smallest semicircles?
What is the relationship between the area of the shaded region and the area […]
A triangle has sides 12, 13 and 15 units. Circles are drawn with centres at the vertices of the triangle so that each circle touches the other two.
Find the radii of the circles.
Can you always find touching circles for any triangle?
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