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
C. 14 cm Step 1: Calculate the total length of the wire. The wire is first bent to form a square of side 22 cm. The length of the wire is equal to the perimeter of this square. Perimeter of square = 4 × side Perimeter = 4 × 22 cm = 88 cm Step 2: Relate the wire's length to the circle's circumference. When the wire is re-bent to form a circle, its length becomes the circumference of the circle. Circumference of circle = 88 cm Step 3: Use the circumference formula to find the radius. The formula for the circumference of a circle is C = 2 r, where r is the radius. We are given = (22)/(7). 88 = 2 × (22)/(7) × r 88 = (44)/(7) r To solve for r, multiply both sides by (7)/(44): r = 88 × (7)/(44) r = 2 × 7 r = 14 cm The radius of the circle is 14 cm. Last free one today — make it count tomorrow, or type /upgrade for unlimited.