Find the area of the annulus in terms of the length of the chord which is tangent to the inner circle.
The largest square which fits into a circle is ABCD and EFGH is a square with G and H on the line CD and E and F on the circumference of the circle. Show that AB = 5EF. Similarly the largest equilateral triangle which fits into a circle is LMN and PQR is an equilateral triangle with P and Q on the line LM and R on the circumference of the circle. Show that LM = 3PQ
Find the ratio of the outer shaded area to the inner area for a six pointed star and an eight pointed star.
Find out how many pieces of hardboard of differing sizes can fit through a rectangular window.
If two of the sides of a right-angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?
A ribbon is nailed down with a small amount of slack. What is the largest cube that can pass under the ribbon ?
Can you calculate the length of this diagonal line?
A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle
ABC and DEF are equilateral triangles of side 3 and 4 respectively. Construct an equilateral triangle whose area is the sum of the area of ABC and DEF.
