Find the area of the blue sector. Leave your answer in terms of π.

Question

anonymous · Answer

attachment

hero · Answer

Are you familiar with ratios of part and whole with regard to area and theta?

cathyangs · Answer

120 is 1/3 of 360, the full circle. The area of this segment would be 1/3 of the entire area of the circle.

hero · Answer

That is a good response, however it doesn't give the student a general approach to solving these kinds of problems

anonymous · Answer

a)π
b)1 over 2 π
c)4 over 3 π
d)4π

anonymous · Answer

do you have steps that you could do so i can understand it ?

hero · Answer

I will give you the general formula that will help you find the area of a sector

anonymous · Answer

@hero okay .

cathyangs · Answer

For any sector with an interior angle of measure x, in a circle with radius r, the area of the sector is x/360 *r^2*pi

hero · Answer

$$\frac{\theta}{360} = \frac{x}{\pi r^2}$$

x = area of the sector

anonymous · Answer

so how do you find the answer ?

hero · Answer

$$\theta = 120, r = 2$$

Replace theta with 120, and r with 2. Then cross multiply and solve for x.