Join IDNLearn.com today and start getting the answers you've been searching for. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.

Sagot :

Area of circle= πr²
r-radius

A1-area of table with diameter 9ft
A2-area of circle with diameter 14ft
d=2r

A1=π*(4,5)²=20,25π
A2=π*7²=49π

A2-A1=49π-20,25π=28,75π=90,275≈90ft²
[tex]Area \ of \ a \ Circle : \\ \\A= \pi r^2 \\ \\ diameter : \ d_{1}= 9 \ ft \\ radius : r_{1} =\frac{d_{1}}{2}=\frac{9}{2}=4.5 \ ft \\ \\ d_{2}= 14 \ ft \\ radius : r_{2} =\frac{d_{1}}{2} =\frac{14}{2}=7 \ ft \\ \\A_{1}= (4.5)^2 \pi=20,25 \ cdot 3.14 = 63.585 \ ft^2 \\ \\A_{2}= 7^2 \pi=49 \cdot 3.14 = 153.86 \ ft^2 \\ \\ A_{2}-A_{1}= 153.86 - 63.585 = 90.275 \approx 90 \ ft^2 [/tex]