Area of Sector and Length of Arc

Topic:
Area
Set your own problem by changing the angle and radius using the sliders, and ticking two of the boxes to reveal values. Using these values find the two missing values. Check your answer by revealing the answers.
1. What size angle gives the same arc length as radius? 2. Can you make the arc length and area the same? In how many ways can this be done? Can you show this algebraically?