homework help in trigonometric functions

Question

A point moves on a circular path with the radius of 4 units. If the point covers an arc of 8 units, find the angle in radians made by the arc at the center of the circular path.

Answer 1

Use the formula

 

s = r*θ

 

where:

s = arc length

r = radius

θ = angle

 

 

To convert degrees to radians, multiply by (π/180).

 

To convert radians to degrees, multiply by (180/π).

Answer 2

s = arc length

r = radius

θ = measure of central angle (in radians)

 

s, r, and θ are related by the equation s = rθ

 

So, θ = s/r = 8/4 = 2 radians