S = rθ Formula and Equation

Formula for S =rθ

The picture below illustrates the relationship between the radius, and the central angle in radians. The formula is
s = rθ where s represents the arc length, θ represents the central angle in radians and r is the length of the radius.

Demonstration of the Formual s=rθ

The interative demonstration below illustrates the relationship between the central angle of a circle, measured in radians, and the length of the intercepted arc. Just click and drag the points.

What is the value of the arc length s in the circle pictured below?

Answer

Use the s=rθ formula
S = 3(Π/3) = Π

What is the value of the arc length s in the circle pictured below?

Answer

Use the formula for S=rΘ and calculate the intercepted arc: 6Π

Calculate the measure of the arc length s in the circle pictured below?

Answer

Use the formula for S=rΘ and calculate the intercepted arc: 4 Π

Calculate the measure of the arc length s in the circle pictured below?

Answer

Use the formula for S=rΘ and calculate the solution