The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents.
The characteristics of pie chart.
<h3>What do you mean by chart?</h3>
A chart is a graphical representation for data visualization, in which "the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart". A chart can represent tabular numeric data, functions or some kinds of quality structure and provides different info.
Given that:
A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents.
The pieces of the graph are proportional to the fraction of the whole in each category.
Each slice of the pie is relative to the size of that category in the group as a whole.
Learn more about chart here:
brainly.com/question/28186947
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Answer:
1.Yes
2.Yes
3.No
4.No
5.Yes
Step-by-step explanation:
Just plug in the values of x and y for each set of coordinates.
Example from the first one
4x=y
4(5)=20
20=20 True
make sure all are valid by plugging in the next set of coordinates
4(6)=24
24=24 True
4(7)=28
28=28 True
and so forth with each equation plug in the coordinates
I don’t think it’s c it is c
