This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the calculations: 1.2.1 Determine the new diameter of the tablecloth in metres. Step 1: Identify the original diameter and the extra fabric added. The original diameter of the table is 1.6 m. The extra fabric added all around the edge is 20 cm. Step 2: Convert the extra fabric measurement to metres. 20 cm = (20)/(100) m = 0.2 m Step 3: Calculate the total increase in diameter. Since the extra fabric is added all around the edge, it adds to the radius on both sides. Therefore, the diameter increases by twice the extra fabric amount. Total increase in diameter = 2 × 0.2 m = 0.4 m Step 4: Calculate the new diameter of the tablecloth. New diameter = Original diameter + Total increase in diameter New diameter = 1.6 m + 0.4 m = 2.0 m The new diameter of the tablecloth is 2.0 m. 1.2.2 Calculate the area of fabric required for ONE tablecloth in square metres. Step 1: Determine the radius of the new tablecloth. The new diameter is 2.0 m. Radius r = Diameter2 = 2.0 m2 = 1.0 m Step 2: Calculate the area of the fabric using the formula A = r^2. A = (1.0 m)^2 A = × 1.0 m^2 A = m^2 Using ≈ 3.14159: A ≈ 3.14159 m^2 The area of fabric required for one tablecloth is approximately 3.14 m^2. Send me the next one 📸