Acircular sector has an area of 50 in^2. the radius of the circle is 5 in.
what is the arc length of the sector?

Length of the arc =  1146.49 inches

Step-by-step explanation:

Here, area of the sector = 50 sq inch

Radius = 5 in

Let the angle made by sector on the center = Ф

Now, area of the sector that makes an angle Ф :

Area =

or,  

⇒

hence, the angle subtended by the arc at the center is Ф = 229.29°

And the length of the arc = Фr

So, arc length  = 229. 29 x 5 = 1146.49 inches

Arc length = 10 unit

Step-by-step explanation:

Given as,

The area of circular sector = 50 unit²

Radius of circle = 5 unit

∵ Area of circular sector =  ,Where Ф angle , r is radius of circular sector .

Length of sector =

So , Length of sector =

                                   =  [tex]\frac{2 times 50}{radius}[/5]

                                   = 10 unit

Hence, arc length of sector = 10 unit    Answer

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .