Respuesta :
I hope this helps you
Arc Length=Center Angle/360.2.pi.r
117,75=90/360.2.3,14.r
r=117,75/1,57
r=75
Arc Length=Center Angle/360.2.pi.r
117,75=90/360.2.3,14.r
r=117,75/1,57
r=75
Arc length is the distance between two points along a section of a curve. The length of the radius of the circle is 75 inches.
Given information-
The measure of the center angle of the circle is 90 degrees.
The length of the arc is 117.75 inches.
The value of pi is 3.14 units.
Arc length-
Arc length is the distance between two points along a section of a curve.
Arc angle [tex]s[/tex] of a circle can be given as,
[tex]s=\dfrac{\theta\times\pi\times r}{180} [/tex]
Here [tex]r[/tex] is the radius of the circle,
Put the values,
[tex]117.5=\dfrac{3.14\times90\times r}{180} [/tex]
Solve for [tex]r[/tex],
[tex]r=\dfrac{117.75\times 180}{3.14\times90} \\ r=75[/tex]
Hence the length of the radius of the circle is 75 inches.
Learn more about the arc length here;
https://brainly.com/question/1577784
