Answer:
22 sides
Step-by-step explanation:
The expression to find an interior angle of a polygon is:
The expression to find an exterior angle of a polygon is:
Please note that "n" represents the number of sides the polygon has.
We can use these two expressions to set up an equation.
Multiply both sides by "n":
Now, distribute:
Divide both sides by 10:
Add 36 to both sides:
Divide both sides by 18:
The polygon has 22 sides
Answer:
Option A) Inside the circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The radius is equal to the distance from the center to any point on the circle
the formula to calculate the distance between two points is equal to
we have
A(-5,-8),M(-1,-3)
substitute the values
step 2
Find the distance from the center to point V
we know that
If the distance from the center to point V is equal to the radius, then the point V lie on the circle
If the distance from the center to point V is less than the radius, then the point V lie inside the circle
If the distance from the center to point V is greater than the radius, then the point V lie outside the circle
we have
A(-5,-8),V(-11,-6)
substitute in the formula
so
The distance from the center to point V is less than the radius
therefore
The point V lie inside the circle