The length of the radius of one circle is 16 m, and the length of the radius of the other

| March 26, 2021 | education

The length of the radius of one circle is 16 m, and the length of the radius of the other is 5 m longer. Calculate the area of the ring formed by these circles.

The solution of the problem:
1. A ring is called a flat figure, which is a part of a plane between two circles with a common center, but having a different radius. The area of the ring will be determined as the difference between the areas of the larger and smaller circles.
2. The area of a circle of small radius is S1 = π * r1² = π * 16² = π * 256 (m²).
3. The length of the radius of a circle with a large radius is 16 + 5 = 21 m. The area of a circle with this radius is S2 = π * r2² = π * 21² = π * 441 (m²).
4. The area of the ring is S = π * (441 – 256) = 3.14 * 185 = 580.9 (m2).
Answer: The area of the ring is 580.9 m².



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