Area
Circumference
Shaded Region
Scale & Scale Factor
Mixed Review
100
Identify the formula for the area of a circle
A=3.14(r2)
100
Identify the two Circumference formulas
C=(3.14)(d)
C=2(3.14)(r)
100
Determine the area of the shaded region. Round your answer to the nearest hundreth.
A = 38.88 square in.
100
Shakia enjoys planning vacations almost as much as going on them. This year, she is spending her vacation in the city. Looking at a map, she plans to start at her hotel. From there, she will go to the fine arts museum, and then to the sculpture garden. She will walk between each location.
On the map:
- The distance between the hotel and the fine arts museum is 1.1 inches.
- The distance between the fine arts museum and the sculpture garden is 1.3 inches.
- On the map scale, 1 in. represents 3 km.
What is the distance that Shakia walked from the hotel to the sculpture garden?
7.2 km
100
Identify a radius and diameter of the circle shown
r= AC
d=EC
200
Calculate the Area of a circle. The radius of a circle is 4 centimeters.
50.24 square centimeters
200
Calculate the Circumference of a circle. The radius of circle is 8.2 centimeters.
51.50cm
200
Identify the area of the shaded region
A = 131.88 square in.
200
Manuel is looking at a map of his warehouse to track down shipment #452A7. He begins in the crate section. When he does not find it there, he looks among the boxes. Finally, he searches in the filing cabinets.
On the map:
- The distance between the crates and the boxes is 2 centimeters.
- The distance between the boxes and the filing cabinets is 1.6 centimeters.
- On the map scale, 1 cm represents 80 m.
What is the distance Manuel walks from the crates to the filing cabinets?
288m
200
Diego made a scale drawing of a community college. A building at the college which is 35 meters wide in real life, is 7 centimeters wide in the drawing. Which scale did Diego use?
1 centimeter: _______
1 cm: 5m
300
Calculate the area of Circle X if the diameter is 13 inches.
A=132.67 inches
300
You buy a new wheel for your bicycle. The diameter of the bicycle wheel is 22 inches. What is the radius of the bicycle wheel? What is the circumference of the bicycle wheel?
r = 11 in., C = 69.08 in.
300
Identify the area of the shaded region
A = 20.72 square cm
300
What scale factor takes square
A to square B?
1/2
300
If a 12-inch pizza costs $9.75 and is cut into 10 slices, what is the cost per slice?
To determine the cost per slice, I need to divide the pizza cost by the number of slices.
9.75 divided by 10 slices=
about 0.98 per slice
400
A round garden has a circumference of 15.7 feet. Calculate the area of the garden.
d=5 ft
r=2.5 ft
A=19.63 sq. feet
400
Calculate the diameter of Circle J if the circumference is 100.48 centimeters. Calculate the diameter of Circle if the circumference is 100.48 centimeters.
the diameter is 32 centimeters
400
Identify the area of the shaded region.
The area of the circle is approximately 226.87 square inches.
400
The scale factor used to create a toy from an actual animal is 1in: 30in. The toy animal is 5 inches tall. How tall is the actual animal?
A scale factor of 1 : 30 means the actual animal is 30 times taller than the toy animal.
The actual animal is 150 inches (or 12.5 feet) tall.
400
You collect coins. One of your favorite coins is a silver-colored coin showing a man’s portrait. The radius of the coin is 12 millimeters. What is the diameter of the coin? What is the circumference of the coin? What is the area of the coin?
d = 24 mm, C = 75.36 mm,
A = 452.16 mm2
500
Jaleesa is buying a round backyard pool. The distance around the edge of the pool is 38 feet. Find the area that the pool will cover.
The circumference of the pool is 38 feet. You can use the circumference to calculate the radius of the pool by taking the circumference of the pool divided by pi to find the diameter of the pool. The diameter divided by 2 is the radius.
The pool will cover about
114.93 square feet.
500
Stacy is planting a circular garden with a diameter of 5 feet. She needs to spread enough fertilizer to cover the entire garden. Use 3.14 for (pi) and round to the nearest hundredth.
19.63 square feet
500
Identify the area of the shaded figure.
A = 100.48 square in.
500
You are shopping in a department store and need to go to these three departments: Accessories, Shoes, and Clothes. A map of the store shows how far the departments are from each other.
On the map:
- The distance between Accessories and Shoes is 0.9 inches.
- The distance between Shoes and Clothes is 2 inches.
- On the map scale, 1 in. represents 150 ft.
Find the actual distance from Accessories to shoes.
Find the actual distance from shoes to clothes.
Accessories to shoes = 1/150 =.90/a
a=135ft
Shoes to clothes= 1/150=2/a
s= 300ft
500
Darius designed a billboard. The billboard is 480 inches long by 144 inches high. Darius uses a computer to design the billboard. Determine the unknown dimension for the computer design that maintains the same scale.
12 inches long by inches high
480/144=12/x
480x=1728
x=3.6 inches high
The unknown dimension is 3.6 inches high.