Arc area
What is the area of the shape enclosed by the line and arcs?
Problem
Image
![Arc Area Arc Area](/sites/default/files/styles/large/public/thumbnails/content-id-8679-arc%252520area.png?itok=GFBl5rQp)
This figure is made from a straight line 16 cm long and two quarter circles, one with its centre at the midpoint of the straight line.
What is the area of the figure (in cm$^2$)?
Student Solutions
Answer: 64 cm$^2$.
As the diagram shows, the figure may be cut into two parts that fit together to form a square measuring 8cm x 8cm.
Image
![Arc Area Arc Area](/sites/default/files/styles/large/public/thumbnails/content-id-8679-arc%252520area%2525201.png?itok=jC8y0kWj)
Image
![Arc Area Arc Area](/sites/default/files/styles/large/public/thumbnails/content-id-8679-arc%252520area%2525202.png?itok=BdcpEKSU)