As the hands of a large clock form an angle of 52°, the end of the minute hand traverses a distance of 23.5 inches. Find the length of the minute hand.

To find the length of the minute hand, we can use the concept of arc length.

Step 1: Convert the angle from degrees to radians. Since 1 radian is equal to 180/π degrees, we can convert 52° to radians by multiplying it by π/180: 52° * π/180 = 0.9076 radians

Step 2: Use the formula for arc length, which is given by the equation: Arc Length = Radius * Angle

Step 3: Rearrange the formula to solve for the length of the minute hand: Length of Minute Hand = Arc Length / Angle

Step 4: Substitute the given values into the formula: Length of Minute Hand = 23.5 inches / 0.9076 radians

Step 5: Calculate the length of the minute hand: Length of Minute Hand ≈ 25.88 inches

Therefore, the length of the minute hand is approximately 25.88 inches.