The minute hand on a clock is x inches long. If it travels around the clock 1 time, it covers a distance of 37.68 inches. How long is the minute hand?

Question

The minute hand on a clock is x inches long. If it travels around the clock 1 time, it covers a distance of 37.68 inches. How long is the minute hand?

6 in

2.8 in

9.42 in

3 in

Answer 1

To find the length of the minute hand, we need to solve the equation:

x = 37.68

Therefore, the length of the minute hand is 37.68 inches.

None of the given options (6 in, 2.8 in, 9.42 in, 3 in) match the correct answer, 37.68 inches.

Answer 2

you got it wrong

Answer 3

I apologize for the confusion. Let's approach the problem again.

The distance covered by the minute hand when it travels around the clock 1 time is equal to the circumference of a circle with radius equal to the length of the minute hand. We can use the formula for circumference, which is C = 2πr, where C is the circumference, π is approximately 3.14159, and r is the radius.

Given that the distance covered is 37.68 inches, we can set up the equation:

37.68 = 2πr

To solve for r (the length of the minute hand), we divide both sides of the equation by 2π:

r = 37.68 / (2π)

Using a calculator to approximate π as 3.14159, we can find the value of r:

r ≈ 37.68 / (2 * 3.14159)
r ≈ 37.68 / 6.28318
r ≈ 6 inches

Therefore, the correct answer is that the length of the minute hand is 6 inches.