Question 110: There Are Three Circular Tabletops With D

question 110ptsthere Are Three Circular Tabletops With D

There are three circular tabletops with diameters of 5 ft, 7 ft, and 9 ft. Find the area of each table top rounded to the nearest tenth.

The area of a circle is calculated using the formula A = πr², where r is the radius (half the diameter). For each tabletop, we will first find the radius, then compute the area, and finally round to the nearest tenth.

For the first tabletop with a diameter of 5 feet, the radius is 2.5 feet. Calculation: A₁ = π × (2.5)² = π × 6.25 ≈ 3.1416 × 6.25 ≈ 19.6 ft².

For the second tabletop with a diameter of 7 feet, the radius is 3.5 feet. Calculation: A₂ = π × (3.5)² = π × 12.25 ≈ 3.1416 × 12.25 ≈ 38.5 ft².

For the third tabletop with a diameter of 9 feet, the radius is 4.5 feet. Calculation: A₃ = π × (4.5)² = π × 20.25 ≈ 3.1416 × 20.25 ≈ 63.6 ft².

Thus, the areas rounded to the nearest tenth are approximately 19.6 ft², 38.5 ft², and 63.6 ft² respectively.

Paper For Above instruction

The task involves calculating the areas of three circular tabletops with given diameters. To accomplish this, I applied the area formula for a circle, A = πr², substituting the radius for each diameter (half of the diameter). For each tabletop, the radius was computed, then squared, multiplied by π, and finally rounded to the nearest tenth to obtain the area. The specific calculations yielded areas of approximately 19.6 ft², 38.5 ft², and 63.6 ft² for the diameters of 5 ft, 7 ft, and 9 ft, respectively. These calculations align with standard geometric formulas and demonstrate practical application in real-world scenarios, such as determining the surface area of tabletops for design or planning purposes. Accurate computation and rounding are vital in ensuring precise and useful measurements in hospitality and interior design contexts.

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