The sum of the external angles of every polygon = 360 degrees
So the n-gon must have its interior angle sum = 360 degrees also.
So what polygon has interior angle sum = 360?
Answer:
91.14 feet
Step-by-step explanation:
Given:
In a park,a sidewalk is built around the edge of a circular pond.
The sidewalk is 7 feet wide, and the pond measure 15 feet across.
Question asked:
What amount of railing would be needed to go completely around the outer edge of the sidewalk?
Solution:
From distance from one edge of the pond to the another = 15 feet
That means diameter of the pond = 15 feet
And width of the sidewalk = 7 feet all around
combined diameter = 15 + 7 + 7 = 29 feet
Radius,r =
That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet
Now, we will have to find circumference of outer circular edge of sidewalk:
Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.
Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
y = 11.54°
Step-by-step explanation:
Reference angle = y°
Opposite side length = 4
Hypotenuse = 20
Apply trigonometric function SOH:
y = 11.536959° ≈ 11.54° (nearest hundredth)