This is a question that I do not have the answer to can someone check this out and tell me if I have the correct answer

Question

waheguru · Answer

attachment

waheguru · Answer

The answer I got was
pi(x^2+6x+9)-(2x^2+12x+18)
Im, not sure if it can be factored any further

anonymous · Answer

See area of triangle will be:

$$\frac{1}{2} \times (2x + 6) \times (x+3) \implies x^2 + 9 + 6x$$

anonymous · Answer

Circle area:
$$\pi r^2 = \pi (x^2 + 9 + 6x)$$

Just subtract them..

anonymous · Answer

Simply tell me what did you get for Area Of Triangle and how??

anonymous · Answer

There @waheguru ??

waheguru · Answer

Im so sorry, I had to leave

waheguru · Answer

To get the area i tried to subtract the two areas given and got
 pi(x^2+6x+9)-(2x^2+12x+18)

anonymous · Answer

Okay..

waheguru · Answer

But, Im not exacly sure what to do next

anonymous · Answer

But now I have to go..

See, just find the area of triangle, Base  = 2x + 6 and Height = x + 3..

You are getting wrong area for triangle..

anonymous · Answer

See, 2x + 6 is the diameter as well as base, half of it will be Height of triangle as well as Radius..

So Area of triangle will be:

$$\frac{1}{2} \times (2x+6) \times (x+3)  = Right??$$

waheguru · Answer

yea

waheguru · Answer

Ooh

waheguru · Answer

I forgot to divide by 2

waheguru · Answer

thanks

waheguru · Answer

Im really sorry, but i have to leave thanks alot for your amazing help

anonymous · Answer

You are welcome dear..

waheguru · Answer

The area of the triangle is x^2+6x+9 and the area of the circle is pi( x^2+6x+9) how do I simplyify this to find the area of the shaded region (question in attachment at top)

mertsj · Answer

(x+3)^2(pi - 1)