The length of the minor arc XY is 18.8.
What is arc length?
The distance along the part of the circumference of any circle or curve is called arc length.
Formula for arc length
[tex]Arc length = 2\pi r(\frac{\alpha }{360} )[/tex]
Where,
α is central angle of arc.
r is the radius of the circle.
π = 3.14
According to the given question
We have
Central angle of the arc is 90 degrees.
Radius of the circle is 12cm.
Therefore,
The length of the arc XY = [tex]2\pi (12)(\frac{90}{360} )[/tex]
⇒ Length of the arc XY = [tex]2(3.14)(12)(\frac{1}{4} )=18.8[/tex]
Hence, the length of the minor arc XY is 18.8.
Find out more information about length of arc here:
https://brainly.com/question/16403495
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