A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet. To the nearest whole unit, what is the area of the canvas, including the floor? Use 3.14 for π.
Accepted Solution
A:
Answer:The area of the canvas, including the floor is 1548 sq. feet. Step-by-step explanation:Given : A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet. To find : What is the area of the canvas, including the floor? Solution : A conical tent made of canvas has a base that is 34 feet.The diameter of the base is D=34 feet.The radius of the base is [tex]r=\frac{34}{2}=17[/tex]The slant height l=12The area of the canvas, including the floor is [tex]A=\pi r l+\pi r^2[/tex][tex]A=\pi r(l+r)[/tex][tex]A=3.14\times 17(17+12)[/tex][tex]A=3.14\times 17\times29[/tex][tex]A=1548.02[/tex]In nearest whole unit, A=1548 sq. feet.Therefore, The area of the canvas, including the floor is 1548 sq. feet.