2 out of 3
What is the perimeter of this unusually shaped polygon...
3 out of 3
3 out of 3
Draw two circles, each of radius 1 unit, so that each circle goes through the centre of the other one. What is the area of the overlap?
3 out of 3
If a ball is rolled into the corner of a room how far is its centre from the corner?
3 out of 3
Semicircles are drawn on the sides of a rectangle. Prove that the sum of the areas of the four crescents is equal to the area of the rectangle.
3 out of 3
Can you find a relationship between the area of the crescents and the area of the triangle?
3 out of 3
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
3 out of 3
Three squares are drawn on the sides of a triangle ABC. Their areas are respectively 18 000, 20 000 and 26 000 square centimetres. If the outer vertices of the squares are joined, three more triangular areas are enclosed. What is the area of this convex hexagon?
3 out of 3
Two circles touch, what is the length of the line that is a tangent to both circles?
3 out of 3
Calculate the ratio of areas of these squares which are inscribed inside a semi-circle and a circle.
