by Guest » Tue Aug 22, 2023 11:27 am
To find the central angle corresponding to the distance the hamster has moved, we can use the formula for calculating the central angle of a circle given the arc length and the radius:
Central Angle (in radians) = Arc Length / Radius
In this case, the arc length is the distance the hamster moved (10 cm), and the radius of the hamster wheel is half of its diameter (48 cm / 2 = 24 cm).
Central Angle (in radians) = 10 cm / 24 cm = 5/12 radians
Now, to convert the angle from radians to degrees, we use the fact that 1 radian is approximately equal to 57.2958 degrees.
Central Angle (in degrees) = Central Angle (in radians) * (180 / π)
Central Angle (in degrees) ≈ (5/12) * (180 / π) ≈ 75.522 degree