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 formula for the area of a circle and substitute the given values. The formula for the area of a circle is A = r^2. Given the area A = 12.56 m^2 and using ≈ 3.142 (as used in the student's work): 12.56 m^2 = 3.142 × r^2 Step 2: Isolate r^2 by dividing both sides of the equation by . r^2 = 12.56 m^23.142 Step 3: Calculate the value of r^2. r^2 ≈ 3.997454 m^2 Step 4: Take the square root of both sides to find the radius r. r = sqrt(3.997454 m)^2 r ≈ 1.99936 m Step 5: Round the radius to an appropriate number of significant figures. Rounding to two decimal places, consistent with the given area: r ≈ 2.00 m The radius of the circle is 2.00 m. Send me the next one 📸