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: Identify the given information and the formula for the area of a circle. The area of the circular playground (A) is 616 m^2. The formula for the area of a circle is A = r^2, where r is the radius. We will use the approximation = (22)/(7). Step 2: Substitute the given area into the formula. 616 = (22)/(7) r^2 Step 3: Solve for r^2. Multiply both sides by (7)/(22): r^2 = 616 × (7)/(22) r^2 = (616 × 7)/(22) Divide 616 by 22: 616 ÷ 22 = 28 r^2 = 28 × 7 r^2 = 196 Step 4: Find the radius r by taking the square root of r^2. r = sqrt(196) r = 14 The radius of the playground is 14 meters. The final answer is 14 m. Send me the next one 📸