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100
Two angles that share a common endpoint and side are called ________ angles.
Adjacent
100
Two angles are _________ angles if their sides form two pairs of opposite rays. These angles are congruent & equal one another.
Vertical
100
Two or more angles are ________ if the sum of their measures is 90 degrees.
Complementary
100
Two or more angles are _________ if the sum of their measures is 180 degrees.
Supplementary
100
How do we find the area of a circle?
How do we find the circumference of a circle?
Area = (pi) (r)²
Circumference = 2(pi)(r)
200
Find the area of the circle. Use 3.14 for pi.
A = (3.14)(11)²
= 379.94 cm²
200
Calculate the circumference. Use 3.14 for pi.
C = 2(3.14)(6.5)
= 40.82 yards
200
A pool has a circumference of 44 inches. What is the approximate diameter of the pool?
C = 2πr or πd
44 = πd
Divide both sides by 3.14
d = 14.01
200
Use the following information to find the length of c.
A = 15
B = 14
C = 20.5
15² + 14² = c²
225 + 196 = c²
421 = c²
Square root of both sides.
200
Find the area of the circle. Leave your answer in terms of pi.
A = π(8)²
= 64π mm²
300
< AGB & < DGE are ______ angles.
Vertical
300
Ruby has a pepperoni pizza with a circumference of 44 inches. What is the area of the pizza?
C = 2πr
44 = 2πr
22 = πr
r = 7
A = πr²
A = π(7)²
= 153.86 inches
300
The circumference of a circle is 18.84 centimeters. What is the radius?
18.84 = 2(3.14)(r)
r = 3 cm
300
3x + 8x + 70 = 180
11x + 70 = 180
11x = 110
x = 10
300
Calculate the circumference. Use 3.14 for pi.
C = 2(3.14)(5)
= 31.4 feet
400
The radius of a monster truck tire is 2.75 feet. What is the distance traveled after 100 rotations? Use 3.14 for pi.
C = 2(3.14)(2.75)
= 17.27 feet
= 17.27 * 100 = 1,727 feet
400
Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600m apart from each other. How far does Sam walk?
Sam walked 447m south.
400² + b² = 600²
160,000 + b² = 360,000
b² = 200,000
Square root of both sides
400
A television is advertised as having a 50-inch diagonal screen. If the screen is 40 inches wide, how tall is it?
30 inches tall.
40² + b² = 50²
1600 + b² = 2500
b² = 900
Take the square root of both sides.
400
The circumference of a circle is 69.08 yards. Calculate the diameter of this circle.
69.08 = 2(3.14)(r)
r = 11
d = 11*2 = 22 yards
400
How would we figure out the area of the green area?
Step 1) Find the area of the green
Step 2) Find the area of the yellow
Step 3) Subtract green - yellow
500
A ladder is 5m long. The base of the ladder is 3m from the base of a vertical wall. How far up the wall does the ladder reach?
The ladder reaches 4m up the wall.
3² + b² = 5²
9 + b² = 25
Subtract 9 from both sides
b² = 16
Square root of 16 is 4
500
Find the area of the circle. Use 3.14 for pi.
A = (3.14)(10)²
= 314 m²
500
The diameter of a fire pit is 1.5 yards. Calculate the distance around the fire pit. Use 3.14 for pi.
C = 2(3.14)(0.75)
= 4.71 yards
500
What do all of these angles add up to?
180 degrees
500
A ship sails 6km East and then 8km North. Find the ship’s distance from its starting point.
The ship traveled 10 km from it's starting point.
6² + 8² = c²
36 + 64 = c²
100 = c²
c = 10