The area of a circle a is 85π ft2. ∠bac is a central angle of the circle, and m∠bac = 36° what is the area of the 36° sector? question 1 options: 8.5πft2 10πft2 17πft2 21.25πft2

As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle -  85π ft2
then the area for 1°            =  85π ft2/360°
the area of 36° sector         =  85π ft2/360° x 36°
                                           =  8.5π ft2