Circle Challenge: Four Intersecting Circles
Start with a square of side 3, and four circles.
Each circle is centered at one of the corners of the square, with radius equal to the side of the square.
Notice the area inside the circle where the four circles overlap.
QUESTION: How can you "describe" that area algebraically?
More specifically, how can you ask GeoGebra to highlight it like it was done below?
Hints
-- Think about the equation of a circle. What does it describe?
-- We have four circles, so we have an equation for each one of them.
-- We have to start from the equation, but we'll use inequalities (four of them!) to highlight the area.
Type your answer here.