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Joy of Problem Solving

A guided tour through our most beautiful and delightful puzzles.

Intro to Problem Solving

Chapter 1 of 8

Joy of Problem Solving: Geometric Shortcuts


The figure consists of 4 unit squares. What is the area of the portion shaded blue?

What is the area of the red figure? (All arcs shown are of circles with a radius of 2.)

The large triangles are identical. Which is larger, the pink area on the left or the blue area on the right?

All internal triangles are similar to the larger triangles.

What is the area of the yellow shaded region? (The overall figure is a right triangle.)

In the square below, two semicircles are overlapping in a symmetrical pattern. Which is greater: the area shaded blue or the area shaded white?


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