Answer:
I. Circumference of circular flower bed = 31.42 ft.
II. Area of circular flower bed = 78.55 ft²
Step-by-step explanation:
Given the following data;
Diameter = 10 ft
Radius = diameter/2
Radius = 10/2
Radius, r = 5 ft
I. To find the circumference of the circular flower bed;
Circumference of circle = 2πr
Substituting into the formula, we have
Circumference of circular flower bed = 2*3.142*5
Circumference of circular flower bed = 31.42 ft
II. To find the area;
Area of circle = πr²
Substituting into the formula, we have;
Area of circular flower bed = 3.142*5²
Area of circular flower bed = 3.142*25
Area of circular flower bed = 78.55 ft²
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
Answer:
72
Step-by-step explanation:
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9514 1404 393
Answer:
20.3
Step-by-step explanation:
The distance formula can be used to find the side lengths.
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the first two points, ...
d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83
For the next two points, ...
d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06
For the last and first points, ...
d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40
Then the sum of the side lengths is ...
5.83 +8.06 +6.40 = 20.29 ≈ 20.3
The perimeter of the triangle is about 20.3 units.
