Semicircle Stack

What is the total area enclosed by the three semicicles?
Age
14 to 16
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


Semicircle Stack


The diagram shows three semicircles, each of radius one.

What is the size of the total area shaded?