Find the angle, in radians, in the figure below if S = 8 and r = 6.(view image)

precalc help

Answer:

Value of theta Ф = 1.33 radians

Step-by-step explanation:

We are given :

S= 8

r = 6

We need to find angle Ф

The formula used is: S=rФ

Finding theta Ф by putting values in formula:

So, value of theta Ф = 1.33 radians

Final answer:

The angle in the figure given the arc length (S) of 8 and the radius (r) of 6 is 1.33 radians.

Explanation:

Solution:

In this given problem, we have to find the angle in radians. We are provided with S = 8 and r = 6. The formula to know the distance between two points, designated by an angle is: s = rθ, where s is the arc length, r is the radius (distance from the center), and θ is the angle in radians.

Rearranging the formula to solve for the angle (θ), we get θ = s/r. Substituting the known values, θ = 8 / 6 = 1.33 radians.

Mathematically,

To find the angle θ in radians, we can use the formula:

θ = s / r

where s is the arc length and r is the radius.

In this case, s=8 and r=6, so:

θ = 8 / 6 = 4/3 radians

= 1.33

Learn more about Angle Calculation here:

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