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
Welcome back estikalucy30 — missed you this week. Step 1: Identify the given values for the sector. The radius of the sector is r = 21 cm. The angle of the sector is = 90^. We are given to use = (22)/(7). Step 2: Write down the formula for the area of a sector. The area of a sector is given by the formula: A = ()/(360^) × r^2 Step 3: Substitute the given values into the formula. A = (90^)/(360^) × (22)/(7) × (21 cm)^2 Step 4: Simplify the expression and calculate the area. First, simplify the fraction (90^)/(360^): (90^)/(360^) = (1)/(4) Next, calculate (21 cm)^2: (21 cm)^2 = 441 cm^2 Now, substitute these back into the area formula: A = (1)/(4) × (22)/(7) × 441 cm^2 A = (1)/(4) × 22 × (441)/(7) cm^2 A = (1)/(4) × 22 × 63 cm^2 A = (22 × 63)/(4) cm^2 A = (1386)/(4) cm^2 A = 346.5 cm^2 The area of the sector is 346.5 cm^2. Send me the next one 📸