Question

a roulette wheel of radius 120 cm has two numbers on its rim. the distance along the rim between the numbers is 4 cm. find the angle subtended at the center of the wheel by the numbers. give your answer in radians (keep 2 significant digits).

Answer 1

To find the angle subtended at the center of the roulette wheel by the two numbers, we can use the formula: Angle (in radians) = Arc Length / Radius. Given that the distance along the rim between the numbers is 4 cm, we can find the angle to be approximately 0.00524 radians.

Step-by-step explanation:

To find the angle subtended at the center of the roulette wheel by the two numbers, we can use the formula:

Angle (in radians) = Arc Length / Radius

Given that the distance along the rim between the numbers is 4 cm, we can find the arc length by multiplying the radius by the angle in radians:

Arc Length = 2 * pi * Radius * Angle

Substituting the known values, we have:

4 cm = 2 * pi * 120 cm * Angle

Solving for the Angle, we get:

Angle = 4 cm / (2 * pi * 120 cm) ≈ 0.00524 radians

Therefore, the angle subtended at the center of the wheel by the numbers is approximately 0.00524 radians.