Find the length of the circular arc intercepted by a central angle of 20 degrees in a circle or radius 5cm

1/18 of 2 pi R = pi*R/9 = 1.7453 cm

To find the length of a circular arc intercepted by a central angle, we can use the formula:

Arc Length = (θ/360) × 2πr

Where:
Arc Length is the length of the circular arc
θ is the central angle in degrees
r is the radius of the circle

In this case, the central angle is 20 degrees and the radius is 5 cm. Substituting these values into the formula, we get:

Arc Length = (20/360) × 2π(5)

Now, let's calculate the length of the circular arc step by step:

1. Convert the angle from degrees to radians:
20 degrees * (π/180) = 0.3491 radians (rounded to four decimal places)

2. Substitute the values into the formula:
Arc Length = (0.3491/360) × 2π(5)
Arc Length ≈ 0.0873 × 2π(5)
Arc Length ≈ 0.0873 × 31.4159
Arc Length ≈ 2.7482 cm

Therefore, the length of the circular arc intercepted by a central angle of 20 degrees in a circle with a radius of 5 cm is approximately 2.7482 cm.