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2022 CCA Math Bonanza
I4
I4
Part of
2022 CCA Math Bonanza
Problems
(1)
Painting Shapes
Source:
4/26/2022
Burrito Bear has a white unit square. She inscribes a circle inside of the square and paints it black. She then inscribes a square inside the black circle and paints it white. Burrito repeats this process indefinitely. The total black area can be expressed as
a
π
+
b
c
\frac{a\pi+b}{c}
c
aπ
+
b
. Find
a
+
b
+
c
a+b+c
a
+
b
+
c
.2022 CCA Math Bonanza Individual Round #4