Given:
Radius of the circle = 6 inches
Central angle = 75 degrees.
To find:
The length of subtended arc, i.e., x.
Solution:
The formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle.
Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get
[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]
[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]
[tex]x=7.85[/tex]
[tex]x\approx 7.9[/tex]
Therefore, the value of x is 7.9 inches.
