Answer: 0
Step-by-step explanation:
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
Answer:
0.27
Step-by-step explanation:
1. put it into the division form which is 0.2268/ 0.84.
2. then see if 0.84 can go into 0.22 if not then 0.226
3. if yes see how many times it can go into 0.226 which is 2.
4. continute these steps until there is no remainder
Answer:
Step-by-step explanation:
√13.7/(3.05^2+2.6)
Answer:
33.7º
Step-by-step explanation:
tan = opp/adj
tan∅ = 100/150 = 2/3
∅ = arctan 2/3
∅ = 33.690067525979787
33.7º
