Question

Find the arc length of the partial circle.

Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

Answer 1

Go on your calculator and do 3.14 and press enter as many times til you get a decimal or get photo math and put in 3.14 and it’ll give you the decimal really quickly

Answer 2

For a partial circle with a central angle of 1/8 * 2π radians, the arc length is πr/4.

The formula for arc length, s, on a circle is given by s = θ * r, where s is the arc length, θ is the central angle in radians, and r is the radius of the circle.

In this case, the central angle, θ, is given as 1/8 * 2π radians, and the radius is denoted by r.

1. Substitute the values:

θ = 1/8 * 2π and s = θ * r = πr/4.

2. Simplify the expression:

The arc length s is equal to πr/4.

The arc length of the partial circle is πr/4.

This result implies that if you know the central angle in radians and the radius of a circle, you can calculate the arc length using the formula πr/4. In this specific case, the fraction 1/8 of the full circle's circumference is represented by the arc length πr/4.