There Are Three Circular Tabletops With D There are three circular tabletops with diameters of 5 ft, 7 ft, and 9 ft. Identify the area of each table top rounded to the nearest tenth. A 1 ≈ 19.6 ft²; A 2 ≈ 38.5 ft²; A 3 ≈ 63.6 ft² A 1 ≈ 78.5 ft²; A 2 ≈ 153.9 ft²; A 3 ≈ 254.5 ft² A 1 ≈ 15.7 ft²; A 2 ≈ 22 ft²; A 3 ≈ 28.3 ft² A 1 ≈ 31.4 ft²; A 2 ≈ 44 ft²; A 3 ≈ 56.5 ft²
Paper For Above instruction Calculating Areas of Circular Tabletops and Geometric Figures Calculating Areas of Circular Tabletops and Geometric Figures Understanding how to compute areas of various geometric shapes is fundamental in both academic and practical contexts. This paper discusses the calculations related to circular tabletops, composite figures, regular polygons, and other geometric forms, applying relevant mathematical formulas to solve the problems. The focus is on demonstrating methodical approaches to derive approximate or exact areas, utilizing formulas for circles, rectangles, and polygons, including the use of π in circle-related calculations. Calculating the Areas of Circular Tabletops Given the diameters of three circular tabletops—5 ft, 7 ft, and 9 ft—the task was to determine their respective areas, rounded to the nearest tenth. The formula for the area of a circle, A = π r², is fundamental here, with the radius r derived by halving the diameter. For the first tabletop with a diameter of 5 ft, the radius is 2.5 ft. The calculation is: A■ = π × (2.5)² ≈ 3.1416 × 6.25 ≈ 19.6 ft² Similarly, for the second tabletop with a diameter of 7 ft, the radius is 3.5 ft: A■ = π × (3.5)² ≈ 3.1416 × 12.25 ≈ 38.5 ft² And for the third tabletop with a diameter of 9 ft, the radius is 4.5 ft: A■ = π × (4.5)² ≈ 3.1416 × 20.25 ≈ 63.6 ft²