Area of Semicircles and Quarter Circles

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Show your work for each problem.

1.
What is the formula for the area of a semicircle?
1. a)
2. b)
3. c)
4. d)
2.
What is the formula for the area of a quarter circle?
1. a)
2. b)
3. c)
4. d)
3.
A semicircle has a radius of 2 cm. What is its area in terms of ? (Enter just the number before )
4.
A quarter circle has a radius of 4 m. What is its area in terms of ? (Enter just the number before )
5.
If a semicircle has radius 6 cm, what is its area?
1. a) cm²
2. b) cm²
3. c) cm²
4. d) cm²
6.
A semicircle has a diameter of 10 cm. What is its area in terms of ? (Enter the number before )
7.
Calculate the area of a semicircle with radius 8 m. Give your answer in terms of .
8.
A quarter-circle shaped mat has a radius of 10 cm. Calculate its area in terms of .
9.
A semicircular window has a diameter of 14 cm. What is its area? (Use )
1. a)38.47 cm²
2. b)307.72 cm²
3. c)153.86 cm²
4. d)76.93 cm²
10.
Find the radius of a semicircle if its area is cm².
11.
Two semicircles together form a full circle. If one semicircle has area cm², what is the area of the full circle in terms of ? (Enter just the number)
12.
A garden has a semicircular flower bed with radius 5 m and a quarter-circle pond with radius 4 m. What is the combined area? (Use )
13.
Four quarter circles of radius 3 cm are arranged to form a full circle. What is the total area?
1. a) cm²
2. b) cm²
3. c) cm²
4. d) cm²
14.
A three-quarter circle has a radius of 8 cm. What is its area in terms of ?
15.
A quarter circle has an area of m². What is the radius in meters?
16.
A semicircle with radius has the same area as a quarter circle with radius . What is the relationship between and ?
1. a)
2. b)
3. c)
4. d)