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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

Respuesta :

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

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