what is the approximate area of the shaded sector in the circle shown below? 14in. 30 degrees

Question

a. 3.67in²

b. 7.33in²

c. 205in²

d. 51in²

Answer 1

With a radius of 14 inches,  the area of the circle overall is  Pi(r²) = 3.14(14²) = 615.44. in²

 

There are 360 degrees in the circle so 30 degrees is 30 out of 360 or 30/360 = 1/12 of the circle

 

(1/12)(615.44) = 51.3 in²

Answer 2

 

sector area = 1/2*r²Θ, where r = radius and Θ is in radians

 

so area       = 1/2 (14)²Π/6   because 30^O* Π/180^O = Π/6

    area       = 51.3 in²      (you're welcome)