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
The video shows a problem involving the area of a sector of a circle. The formula for the area of a sector is: Area = (θ/360°) × πr² where θ is the central angle in degrees and r is the radius. Step 1: Identify the given values from the video. The radius (r) is 10 cm. The central angle (θ) is 120°. Step 2: Substitute the values into the formula. Area = (120°/360°) × π(10 cm)² Step 3: Simplify the fraction. (120°/360°) = (1)/(3) Step 4: Calculate the square of the radius. (10 cm)² = 100 cm² Step 5: Substitute the simplified values back into the formula. Area = (1)/(3) × π × 100 cm² Step 6: Combine the terms to find the final area. Area = (100π)/(3) cm² The area of the sector is (100π)/(3) cm². Send me the next one 📸