#### You may also like ### Just Opposite

A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square? ### Fitting In

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 ### Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

# LOGO Challenge - the Logic of LOGO

##### Age 11 to 16 Challenge Level:
We do not offer LOGO programs as solutions because there are so many ways to tackle the challenges. You will know if you have the correct solution because you will be able to create the pattern in the picture