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 values. The diameter of the circle is d = 8 cm. The angle subtended at the center is = 45^. Step 2: Calculate the radius of the circle. The radius r is half of the diameter. r = (d)/(2) = 8 cm2 = 4 cm Step 3: Use the formula for the length of an arc. The length of an arc L is given by the formula: L = ()/(360^) × 2 r Step 4: Substitute the values into the formula. L = (45^)/(360^) × 2 (4 cm) Step 5: Simplify the expression. L = (1)/(8) × 8 cm L = cm Step 6: Compare the result with the given options. The calculated arc length is cm. This matches option (b). The final answer is b) .