Math CentralQuandaries & Queries


Felicia, a parent:

A rectangle whose base is twice its altitude is inscribed in a circle whose radius is 5 mm.
Find the area of the rectangle.

Hi Felica,
In my diagram I let a mm be the altitude of the rectangle. What is the length of the base?

Angle CAB is a right angle. What is the length of AB? What is the length of CA? What does Pythagoras theorem say for triangle CAB?

Solve for a.


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