Answer:
[tex]the \: angle \: is \: 0.25\pi[/tex]
Step-by-step explanation:
the arc length is equal to the radius x angle (in radians)
[tex]s=ra[/tex]
s= arc length, r= radius and a= the angle
solve for a ; a= s/r; a=
[tex]1.25\pi/5[/tex]
The measure of the arc is 0.25π.
Important information:
The formula for arc length is:
[tex]s=r\theta[/tex]
where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.
The diameter of a circle is 10 inches. So, the radius is 5 inches.
[tex]1.25\pi=5\theta[/tex]
[tex]\dfrac{1.25\pi}{5}=\theta[/tex]
[tex]0.25\pi=\theta[/tex]
Therefore, the measure of the arc is 0.25π.
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