Page 19 - Abstract book - TJSSF-2020

Thailand – Japan Student Science Fair 2020 (TJ-SSF 2020)
“Seeding Innovations through Fostering Thailand – Japan Youth Friendship”

The rounded shape with sides were formed by Hypocycloid curve

Chanikarn Detchsong , Piyachat Wongnurak
1
1
Advisors: Kanda Kaosumpun , Kittipol Nualtong 2
1

Princess Chulabhorn Science High School Trang
1
Prince of Songkla University
2

Abstract

The propose of this project is to create the rounded shape with sides which were formed by
Hypocycloid curve , find the area and the perimeter formula by creating geometry from Geometer’s
Sketchpad (GSP). We can prove that , the area formula of the rounded shape with sides is

and the perimeter of the rounded shape with sides is

where is the number of sides of the rounded shape and
is the number of spire of hypocycloid or sides of hypocycloid ,

Keywords: Hypocycloid

7