Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
Answer:
96 inches
Step-by-step explanation:
176 divided by 11 equals 16.
This means each square has an area of 16 squared inches.
The square root of 16 is 4. Each side of each square is 4 inches long.
If you count how many sides of the squares line the perimeter, there are 24.
24 times 4 equals 96 inches.
Answer: 125
Step-by-step explanation:
25% of 100 = 25
25 + 100
125
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
===========================================================================================
Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
===========================================================================================
Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.