Question

Find the total area round to the nearest 10th if necessary use the pi symbol on calculator

Answer 1

`Total \:area\approx 290.5\: ft^2`

Explanation:

Total area
`=\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2`

(where
`r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft`)

`\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2)`

`\therefore Total \:area=\frac {1}{2} * 3.14(11^2 + 8^2)`

`\therefore Total \:area=1.57(121 + 64)`

`\therefore Total \:area=1.57(185)`

`\therefore Total \:area=290.45\: ft^2`

`\therefore Total \:area\approx 290.5\: ft^2`