A circle has an area of 36 m2. What is the area of a 40 sector of this circle?

A. 6 m2
B. 4 m2
C. 2 m2
D. 3 m2

Question

A circle has an area of 36 m2. What is the area of a 40 sector of this circle?

 		A.	6 m2
 		B.	4 m2
 		C.	2 m2
 		D.	3 m2

ffasinger · Answer

@Directrix

anonymous · Answer

40 sector?

anonymous · Answer

Do you have a picture?

wolf1728 · Answer

Should that be 40 degree sector?

ffasinger · Answer

No image on this one.

anonymous · Answer

@wolf1728 @FFASinger Assuming it's 40 degrees. Then: 40/360 = 0.11111

0.111111111 * 36 = 4m^2

directrix · Answer

Here is an illustration of the sector and finding its area.

This problem seems easier than the last one

directrix · Answer

40/360 is the circle's area swept out by the sector.

 360 degrees in a circle. 

The sector has 1/9 of the circle's area. (Note: 40/360 = 1/9)

 If the circle's area is given to be 36, then the sector is occupying 1/9 of that area. 

Multiply ( 1/9 * 36 ) to get the area of the sector with central angle 40. @FFASinger