Answer:
22.9 degrees
Step-by-step explanation:
The degree measure (in radians) can be found using the following formula.
Θ=S/r
where S is the arc length and r is the radius.
We know the arc length is 4 feet and the radius is 10 feet. Substitute the values into the formula.
Θ= 4/10
Θ= 0.4
The measure is 0.4 radians.
Convert radians to degrees using the following formula.
Θ * 180/π
We know that Θ= 0.4 , so we can substitute it in.
0.4 * 180/π
0.4 * 57.2957795
22.9183118
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 9 in the tenth place.
22.9
The angle measure is about 22.9 degrees.
