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Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area a equals 25 pi centimeters squared and theta equals pi over four

Respuesta :

Answer:

3.928 units.

Step-by-step explanation:

We know that L, Ф, R are related to each other by the equation

L = RФ, where Ф is in the Radian unit. .... (1)

Now, the area of a circle is given to be πr² =25π, ⇒ r =5 units

And also given that Ф =π/4

Hence, length of the arc (L) =5×[tex]\frac{\pi }{4}[/tex] = [tex]\frac{5*22}{7*4}[/tex] =3.928 units. (Answer)

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