Loci, Perimeters
Key Stage: 4 ★★
Rotating an equilateral triangle around another equilateral triangle produces a flower with three petals. What is the perimeter of this shape?
This problem offers the opportunity to practise calculating arc lengths, working in terms of π, and calculating interior angles of regular polygons. It also provides an opportunity to generalise from simple examples, and to explain patterns in terms of the underlying structure of the problem.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★★
Rotating an equilateral triangle around another equilateral triangle produces a flower with three petals. What is the perimeter of this shape?
This problem offers the opportunity to practise calculating arc lengths, working in terms of π, and calculating interior angles of regular polygons. It also provides an opportunity to generalise from simple examples, and to explain patterns in terms of the underlying structure of the problem.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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