Due to Anuvab for the suggestion! I’m instructed that is based mostly on an issue from the Bangladesh Math Olympiad in 2019.
Rectangle ABCD has AB = 4 and BC = 8. Assemble arc AE centered at B with E on facet BC and assemble arc CF centered at E with F alongside facet AD. What’s the space of AFCE, the area shaded in blue?
As standard, watch the video for an answer.
Space Between Two Arcs In A Rectangle
Or hold studying. . .
“All can be nicely in the event you use your thoughts in your selections, and thoughts solely your selections.” Since 2007, I’ve devoted my life to sharing the enjoyment of recreation principle and arithmetic. MindYourDecisions now has over 1,000 free articles with no advertisements due to neighborhood help! Assist out and get early entry to posts with a pledge on Patreon.
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. . . . M I N D . Y O U R . D E C I S I O N S . P U Z Z L E . . . . Reply To Space Between Two Arcs In A Rectangle
(Just about all posts are transcribed rapidly after I make the movies for them–please let me know if there are any typos/errors and I’ll appropriate them, thanks).
There’s a easy trick to resolve this drawback. Assemble EF dividing the rectangle into two congruent squares with facet size equal to 4.
By building of the arcs, the area AFE is congruent to the area FDC. Thus now we have:
blue area = space(AFE) + space(EFC) = space(FDC) + space(EFC) = space(EFDC) = 4×4 = 16
Thus the blue area has an space equal to 16 sq. items, and we’re accomplished!
Particular thanks this month to:
Lee Redden Mike Robertson Daniel Lewis Robert Zarnke Kyle
Due to all supporters on Patreon!
Revealed by
PRESH TALWALKAR
I run the MindYourDecisions channel on YouTube, which has over 1 million subscribers and 200 million views. I’m additionally the creator of The Pleasure of Recreation Idea: An Introduction to Strategic Pondering, and a number of other different books which can be found on Amazon.
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