A circular table has a circumference of 124124 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 124124​ 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 .

a re a : 1226031592.5 in c h^{2}

Solution steps

Given:

c i rc u m f ere n ce : 124124 in c h

Radius given

C i rc u m f ere n ce = 124124 : r = \frac{62062}{π}

Circle Area given

r = \frac{62062}{π} : A = \frac{6206 2 ^{2}}{π}

a re a : \frac{6206 2 ^{2}}{π} in c h^{2}

Round

\frac{6206 2 ^{2}}{π}

to the nearest 1 decimal places:

1226031592.5

a re a : 1226031592.5 in c h^{2}