The area of sector AOB is 12.25pi. What is the exact area of the shaded region?

Question

ashleyisakitty · Answer

a) (12.25pi-49)cm^2
b) (12.25pi-24.5)cm^2
c) (12.25pi-49√2)cm^2
d) (12.25pi-24.5√2)cm^2

compassionate · Answer

Basically, you want to multiply it by 1/2. Treat it like the area of a triangle.

compassionate · Answer

Well, wait, area is already mutliplied by 1/2, so it'd be 1/3

ashleyisakitty · Answer

So itd be (12.25pi-24.5)

B?

compassionate · Answer

you subtract the area of the sector from the area of the triangle to get the shaded area

compassionate · Answer

Here, I found that on OpenStudy. Look at this example, and just plug in your own numbers. http://openstudy.com/study#/updates/50cc0872e4b0031882dbea7e

compassionate · Answer

@jim_thompson5910 , come here.

compassionate · Answer

After working it out myself, I want to say B is correct. However, I'm not an expert on this particular type of problem. That's why I tagged Jimmy, but he seems to be away.

ashleyisakitty · Answer

okay! thanks for the help and example.

maybe when he see's your tag, he'll come and clarify more

compassionate · Answer

Yeah, don't submit it until he comes :)