An arc 33cm long subtends a central angle of a circle with a radius of 16m. Determine the measure of the central angle in radians.

Answer 1

To find the measure of the central angle in radians, we first need to convert the arc length to meters (since the radius is measured in meters).

1 cm is equal to 0.01 meters, so 33 cm is equal to 0.33 meters.

Now, we can use the formula for calculating the central angle in radians:

θ = s / r

where θ is the central angle in radians, s is the arc length, and r is the radius of the circle.

Plugging in the values we have:

θ = 0.33 m / 16 m
θ = 0.020625 radians

Therefore, the measure of the central angle in radians is approximately 0.0206 radians.