Question

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.

Answer 1

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

Answer 2

`Area \ of \ a \ Circle : \\ \\A= \pi r^2 \\ \\ diameter : \ d_(1)= 9 \ ft \\ radius : r_(1) =(d_(1))/(2)=(9)/(2)=4.5 \ ft \\ \\ d_(2)= 14 \ ft \\ radius : r_(2) =(d_(1))/(2) =(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`