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the radius of a circle is 6/pi what is the length of the arc on this circle if th;e central angle is 45 degrees

Sagot :

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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