We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3
The other diagonal would be 13 feet as well because it is a rectangle.
The volume of a cone is 84.78 cm
<u>Step-by-step explanation</u>:
<u>Given</u>:
radius = 3 cm and
height = 9 cm
<u>To Find</u>:
The Volume of a Cone
<u>Formula</u>:
The Formula for the volume of a cone is
V=πr2 *h/3
<u>Solution</u>:
V=πr2 *h/3
π value is 3.14
V= 3.14*(3)^2*9/3
V=3.14*9*3
V= 84.78 cm
Therefore the volume is 84.78 cm.
Answer:
(a)The missing measurements are 9 feet and
.
(b)Therefore, the length of the fence is 
Step-by-step explanation:
The diagram of the yard is attached below.
(a)I have labeled the missing dimensions of the yard as x and y.
Therefore:

Similarly:

The missing measurements are 9 feet and
.
(b)Length of the Fence
The fence is rectangular shaped with:
Length = 
Width = 
Perimeter of a Rectangle = 2(L+W)
Therefore, the length of the fence
