Monthly Archives: November 2019

Problem of the Day – November 25, 2019

Posted on November 25, 2019 by kevin

In the following figures, 4 quarter circles join at the center of a unit square. Find the area of the shaded regions in blue.

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Problem of the Day – November 24, 2019

Posted on November 24, 2019 by kevin

In the following figure, a semi-circle is inscribed with maximum size inside a unit square. Find the radius of the the semi-circle. 

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Solution to November 23, 2019′s Challenge

Posted on November 23, 2019 by kevin

According to Pythagoras theorem, the length of the street is $13$ blocks. However, if you look at the following diagram, Bob actually walks 16 street blocks 🙂

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Problem of the Day – November 23, 2019

Posted on November 23, 2019 by kevin

Bob walks to school by walking up Geometry Street for 5 blocks, and turning 90 degrees to the right onto Square Street for 12 blocks. There is also a street that runs directly from Bob’s house to his school. If Bob … Continue reading →

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Circles in a Square – Part 3

Posted on November 23, 2019 by kevin

By adding one more quarter circle, we have the following figure. The question is: what is the area of the region bounded by arc $\stackrel \frown {AE}$, $\stackrel \frown {EF}$ and $\stackrel \frown {FA}$? In fact, based on the calculations … Continue reading →

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