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
Step 1: Write down the given values and the formula for the area of a sector. The area of the sector A = 11 cm^2. The radius of the circle r = 3 cm. The value of to use is (22)/(7). The formula for the area of a sector is: A = ()/(360^) r^2 where is the angle in degrees. Step 2: Substitute the given values into the formula. 11 = ()/(360^) × (22)/(7) × (3 cm)^2 Step 3: Simplify the equation. 11 = ()/(360^) × (22)/(7) × 9 11 = (22 × 9 × )/(360^ × 7) 11 = (198 )/(2520^) Step 4: Solve for . Multiply both sides by 2520^: 11 × 2520^ = 198 27720^ = 198 Divide by 198: = (27720^)/(198) = 140^ The angle enclosed by the sector at the centre is 140^. Send me the next one 📸