Use the given circle. Find the length s to the nearest tenth.

Question

5
5n/3
3in

Answer 1

To find the length s, we need to use the formula for the circumference of a circle: C = 2πr, where r is the radius of the circle.

Given that the radius of the circle is 5, we can plug this value into the formula:

C = 2π(5)
C = 10π

To find the length s, we want to find the arc length for n as a fraction of the circumference. The formula for arc length is: s = (n/360) * C, where n is the angle in degrees and C is the circumference.

Given that n = 3, we can now calculate the arc length:

s = (3/360) * 10π
s = (1/120) * 10π
s = (10/120) * π
s = (1/12) * π
s ≈ 0.262π

To find the length s to the nearest tenth, we can substitute π with 3.14:

s ≈ 0.262 * 3.14
s ≈ 0.822

Therefore, the length s to the nearest tenth is approximately 0.8.