Find the length of the intercepted arc with a central angle of measure θ=π/6 on a circle with radius r = 3. Round to the nearest tenth.

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 * 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 3

θ = π/6

2π = 360 degrees

π = 360/2 = 180

Therefore,

θ = 180/6 = 30 degrees

Therefore,

Length of arc = 30/360 * 2 * 3.14 * 3

Length of arc = 1.6 to the nearest tenth