An arc of a circle measures 30° if the radius of the circle is 5 cm what is the length of the arc
change to radians
arc length s = rθ
Plug in your numbers.
To find the length of an arc of a circle, you can use the formula:
Arc Length = (Angle / 360°) × 2π × Radius
Given that the angle of the arc is 30° and the radius is 5 cm, we can substitute these values into the formula:
Arc Length = (30° / 360°) × 2π × 5 cm
Let's simplify the formula and calculate the answer:
Arc Length = (1/12) × 2π × 5 cm
Arc Length = (1/6)π × 5 cm
Arc Length ≈ 0.166π × 5 cm
Arc Length ≈ 0.83π cm
So, the approximate length of the arc is 0.83π cm, or approximately 2.60 cm.