The arc length is 1.5.
- In a circle, the arc length is a part of the circumference.
- Let L be the arc length, 'r' be the radius of the circle, and Ф be the angle in radians subtended by the arc at the center of the circle.
- An "arc" is a curve connecting two points in mathematics. In general, an arc is one of a circle's parts. It basically makes up a portion of a circle's circumference. A curve includes an arc. Although it can be a part of other curved forms, such as an ellipse, an arc mostly refers to a circle.
- The length of an arc is equal to radius * Ф, where Ф is in radians, is a formula that may be used to determine the arc length of a circle given its radius and central angle.
- We know the given formula.
- L = r * Ф
- It is given that r = 6/π and Ф = 45°
- We first convert Ф from degrees to radians.
- Ф = 45° * π/180°
- Ф = π/4
- Substituting the values in the formula
- L = r * Ф
- L = 6/π * π/4
- L = 6/4
- L = 1.5
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