Challenge 472: Circles Within Triangles
I found this relationship surprising - do you?
I draw a circle of area 4π cm2, and I circumscribe it with a triangle of area 20 cm2. (This means that each side of the triangle is tangent to the circle.)
What is the perimeter of the triangle?
Submit your solution
Please do send in your solution to this problem to weeklymaths@kcl.ac.uk You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide feedback on your solution, assuming that you are in year 11 or below. If you are older than this, we hope you enjoy trying the problems and reviewing your solutions against those we publish on the website.
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