Arc Area
What is the area of the shape enclosed by the line and arcs?
Age
14 to 16
Challenge level
Problem
Image
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
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