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
Assuming the question asks for the area of the sector shown in the image: Step 1: Identify the given values. The radius of the sector is r = 2.5 m. The central angle of the sector is = 220^. Step 2: State the formula for the area of a sector. The area A of a sector with radius r and central angle (in degrees) is given by: A = ()/(360^) r^2 Step 3: Substitute the given values into the formula. A = (220^)/(360^) (2.5 m)^2 Step 4: Calculate the area. First, simplify the fraction and square the radius: A = (22)/(36) (6.25 m^2) A = (11)/(18) (6.25 m^2) Multiply the numerical values: A = (11 × 6.25)/(18) m^2 A = (68.75)/(18) m^2 A ≈ 3.8194 m^2 Using ≈ 3.14159: A ≈ 3.8194 × 3.14159 m^2 A ≈ 12.000 m^2 Rounding to two significant figures, consistent with the given radius: A ≈ 12 m^2 The area of the sector is 12 m^2. That's 2 down. 3 left today — send the next one.