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Popular Word Problems >

A circular table has a circumference of 9191 inches. What is the area of the table? If needed, use an approximation for �pi and round your answer to one decimal place.

Solution

A c i rc u l a r t ab l e ha s a c i rc u m f ere n ce o f 9191​ in c h es . Wha t i s t h e a re a o f t h e t ab l e ? I f n ee d e d, u se an a pp ro x ima t i o n f or � π ​​ an d ro u n d yo u r an s w er t o o n e d ec ima l pl a ce .

Solution

a re a : 6722265.6 in c h^{2}

Solution steps

Given:

c i rc u m f ere n ce : 9191 in c h

Radius given

C i rc u m f ere n ce = 9191 : r = \frac{9191}{2 π}

Circle Area given

r = \frac{9191}{2 π} : A = \frac{84474481}{4 π}

a re a : \frac{84474481}{4 π} in c h^{2}

Round

\frac{84474481}{4 π}

to the nearest 1 decimal places:

6722265.6

a re a : 6722265.6 in c h^{2}

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