Annulus Area Worksheet
Grade 12 Math worksheet on calculating the area of an annulus, including problems with different units and composite shapes.
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Annulus Area Worksheet
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Read each question carefully and calculate the area of the annulus. Show all your work and include appropriate units.
1. A circular swimming pool has a radius of 8 meters. A circular path surrounds the pool, increasing the total radius to 10 meters. Calculate the area of the path (annulus).
2. An annulus has an outer radius of 15 cm and an inner radius of 9 cm. Find its area.
3. Which of the following formulas represents the area of an annulus, where R is the outer radius and r is the inner radius?
π(R + r)
π(R - r)
π(R² - r²)
π(R² + r²)
4. An annulus is the region between two circles.
5. To find the area of an annulus, you subtract the area of the circle from the area of the circle.
6. A metal washer has an outer diameter of 30 mm and an inner diameter of 14 mm. Calculate the area of one side of the washer.
7. If the area of an annulus is 75π square units and its inner radius is 5 units, find the outer radius.
8. The area of an annulus is always positive.
True
False
9. An annulus can be formed by two non-concentric circles.
True
False