Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 102

Inscribed Semicircle

This problem was posed on Twitter the other day.

A semicircle is inscribed in a rectangle. If the area of the semicircle is pi, what's the area of the rectangle?

My question is ... how could you draw the inscribed semicircle in a way that gives a rectangle of a very different (and larger) area?

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Geometry Snacks
David Marain
GEOM

Source: David Marain

A semicircle is inscribed in a rectangle. If the area of the semicircle is pi, area of rect=? [4] #SATPrep #mathchat #Geometry
— David Marain (@dmarain) March 26, 2015

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