**Agenda: Creating a Cardioid**

**Presenters: Aubrey Rhoden and Kim Moore**

**Problem**: **How can we create a cardioid with a radius of 10 feet on the beach?**

**Solution: Let there be 36 points labeled 0 to 35 equally spaced on a circle. Connect nth point to Mod [2 n,36] th point. These lines are tangents to a cardioid.**

**Use a stake and rope to create the circle. The stake goes in the middle of the circle.****Calculate the circumference of the circle. The circumference would be 62.8 feet or 753 inches.****Divide the circumference into 36 equal parts. The stakes need to be 20.9 inches apart.**

**Creating cardioids and other curves**

**Formula for a cardioid:**

**X= a cos t (1 – cos t)**

**Y= a sin t (1- cos t)**

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