Area of an Annulus Worksheet
This worksheet focuses on calculating the area of an annulus, also known as a circular ring, using given radii. It includes various problem types to reinforce understanding.
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Area of an Annulus Worksheet
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Read each question carefully and calculate the area of the annulus. Use π ≈ 3.14 and round your answers to two decimal places where necessary. Show all your work.
1. Find the area of an annulus with an outer radius (R) of 10 cm and an inner radius (r) of 6 cm.
2. In an annulus, the outer circle has a diameter of 24 inches and the inner circle has a diameter of 16 inches. The outer radius (R) is inches and the inner radius (r) is inches. The area of this annulus is square inches.
3. Which of the following formulas correctly represents the area of an annulus?
A = πR²
A = π(R + r)²
A = π(R² - r²)
A = π(R - r)²
4. A circular pathway is built around a circular garden. The garden has a radius of 8 meters, and the pathway is 2 meters wide. What is the area of the pathway?
5. The area of an annulus is always greater than the area of its inner circle.
True
False
6. A washer has an outer diameter of 30 mm and an inner diameter of 10 mm. Calculate the area of one side of the washer.