Area of Circles

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Show your work for each problem.

1.
What is the formula for the area of a circle?
1. a)
2. b)
3. c)
4. d)
2.
A circle has a radius of 3 cm. What is its area? (Use and round to one decimal place)
3.
If the radius of a circle is 5, what is ?
1. a)5
2. b)15
3. c)10
4. d)25
4.
A circle has a diameter of 10 cm. What is its radius?
5.
Calculate the area of a circle with radius 4 cm. (Use )
6.
A circle has a diameter of 14 cm. What is its area? (Use )
1. a)43.96 cm²
2. b)307.72 cm²
3. c)153.86 cm²
4. d)615.44 cm²
7.
A circular garden has a radius of 6 meters. How many square meters of soil do you need to cover it? (Use )
8.
A pizza has a diameter of 30 cm. Calculate its area. (Use )
9.
If you double the radius of a circle, what happens to the area?
1. a)It becomes 4 times larger
2. b)It stays the same
3. c)It becomes 8 times larger
4. d)It doubles
10.
A circular tablecloth needs to cover a table with diameter 1.2 m. What area of fabric is needed? (Use )
11.
Express the area of a circle with radius 8 cm in terms of π (as a multiple of π).
12.
A circular patio costs 45 euros per square meter to pave. If the radius is 4 m, what is the total cost? (Use )
13.
Circle A has radius 3 cm and Circle B has radius 6 cm. How many times larger is the area of Circle B compared to Circle A?
1. a)2 times
2. b)6 times
3. c)9 times
4. d)4 times
14.
A circular pool has an area of 314 m². What is its radius? (Use )
15.
A 35 cm diameter pizza costs 18 euros and a 25 cm diameter pizza costs 10 euros. Which pizza gives more area per euro?
16.
A circular lawn sprinkler covers an area of 78.5 m². What is the maximum distance water reaches from the sprinkler? (Use )