emily82039
emily82039 emily82039
  • 23-05-2021
  • Mathematics
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A circle has a radius of four arc in the circle has a central angle of 280° what is the length of the arc

A circle has a radius of four arc in the circle has a central angle of 280 what is the length of the arc class=

Respuesta :

Muscardinus Muscardinus
  • 28-05-2021

Answer:

20.096 units

Step-by-step explanation:

Given that,

The radius of circle, r = 4

The measure of central angle = 288°

We need to find the arc length. The formula to find the arc length is given by :

[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]

So, the arc length is equal to 20.096 units.

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