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Jen has a circular dining table with a diameter of 4 feet. She buys a circular table cloth with a radius of 3 feet. Approximately what are of cloth will hang over the edge.


Sagot :

A diameter of 4 feet would mean a radius of 2 feet, half that.

The area of a circle is [tex] \pi r^{2}[/tex]

2² = 2*2 = 4, so the table is 4π ft²
3² = 3*3 = 9, so the cloth is 9π ft²

9π cloth - 4π cloth on the table = 5π hanging over the edge.

We can approximate π to 3.14 and 5*3.14=15.7, so there is 15.7 ft² of cloth over the edge.