Answer:
surface area is the answer
Answer:
$158.562
Step-by-step explanation:
Data provided in the question:
Face value = $2,300
Period of discount = 140 days = 140 / 365 = 0.383 years
Discount rate = 18% = 0.18
Now,
the discount can be calculated using the relation
Discount = face value × discount rate × Period.
Discount = $2,300 × 0.18 × 0.383
Discount = $158.562
Hence, the discount is $158.562
Answer:
(a) The total area of compound figure is
.
(b) The total perimeter of compound figure is 68.84 ft.
Step-by-step explanation:
Perimeter: The total distance covered by the figure.
Area: It is defined as the space occupied by the figure.
Given:
Length of rectangular figure = 19 ft
Breadth of rectangular figure = 12 ft
Radius of circle, r = ![\frac{12ft}{2} = 6 ft](https://tex.z-dn.net/?f=%5Cfrac%7B12ft%7D%7B2%7D%20%3D%206%20ft)
Part (a):
Now calculating the total area of the compound figure.
![\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20area%7D%3D%5Ctext%7BArea%20of%20rectangular%20figure%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7BArea%20of%20circle%7D%5C%5C%5C%5C%5Ctext%7BTotal%20area%7D%3D%5Ctext%7BLength%7D%5Ctimes%20%5Ctext%7BBreadth%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cpi%20r%5E2)
Now putting all the given values in this formula, we get:
![\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20area%7D%3D%2819ft%5Ctimes%2012ft%29%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%203.14%5Ctimes%20%286ft%29%5E2%5C%5C%5C%5C%5Ctext%7BTotal%20area%7D%3D284.52ft%5E2)
Part (b):
Now calculating the total perimeter of the compound figure.
![\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20perimeter%7D%3D2%5Ctimes%20%5Ctext%7BLength%7D%2BBreadth%2B%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7BCircumference%7D%29%5C%5C%5C%5C%5Ctext%7BTotal%20perimeter%7D%3D2%5Ctimes%20%5Ctext%7BLength%7D%2BBreadth%2B%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%202%5Ctimes%20%5Cpi%20%5Ctimes%20r%29)
Now putting all the given values in this formula, we get:
![\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20perimeter%7D%3D2%5Ctimes%20%5Ctext%7BLength%7D%2BBreadth%2B%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%202%5Ctimes%20%5Cpi%20%5Ctimes%20r%29%5C%5C%5C%5C%5Ctext%7BTotal%20perimeter%7D%3D2%5Ctimes%2019ft%2B12ft%2B%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%202%5Ctimes%203.14%20%5Ctimes%206ft%29%5C%5C%5C%5C%5Ctext%7BTotal%20perimeter%7D%3D68.84ft)
Answer:2 ft
Step-by-step explanation:
Area of circle = pi x r^2 = 4 pi
So r^2 = 4
r =2