r = 55 inches, θ = 50°

Question

Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round the answer to two decimal places.

Answer 1

S = 2πr(θ / 360)

S = 110π (50 / 360)

Can you reduce and answer?

Answer 2

Hello Nasrin,

The formula for arc length is:

S = rθ where S = arc length, r = radius and θ = central angle in RADIANS

With that said, the angle given in the problem must be converted into radians: θ = 50 π/180 radians

Arc length = S = 55 * 50 π/180

Enter that in your calculator and round the answer to 2 decimal places (a.k.a only keep 2 digits to the right of the decimal). Because the radius is in inches, the arc length will also be in inches.

You got this.