since s = rθ,
8θ = 9
now multiply θ by 180/π to get the degrees.
A central angle θ in a circle of radius 8 m is subtended by an arc of length 9 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)
θ = °
Find the measure of θ in radians. (Round your answer to two decimal places.)
θ = rad
2 answers
a. Circumference = 2pi*r = 6.28**8 = 50.3 m.
theta = (8/50.3)*360 = 57.3 deg.
b. 3.14/180 = x/57.3
X = --- rad.
theta = (8/50.3)*360 = 57.3 deg.
b. 3.14/180 = x/57.3
X = --- rad.
2 answers