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Mathematics 18 Online
OpenStudy (anonymous):

The area of sector AOB is 20.25pi cm^2 . Find the exact area of the shaded region.

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

find Area of triangle AOB and subtract it from sector area

OpenStudy (anonymous):

The area of AOB is 20.25.

ganeshie8 (ganeshie8):

thats the given sector AOB area.

OpenStudy (anonymous):

woops, its 63.585 if you multiply it by pi

ganeshie8 (ganeshie8):

Yes. thats the given **sector** area.

ganeshie8 (ganeshie8):

we need to remove the triangle area to get area of shaded region

OpenStudy (mathstudent55):

The question asks for the _exact_ area, so just follow what ganeshie8 told you to do. Calculate the area of the triangle and subtract it from 20.25(pi) cm^2. The answer should look like 20.25pi - _______ cm^2

OpenStudy (anonymous):

Do I have to use Sin Cos Tan?

ganeshie8 (ganeshie8):

to find the height OA ?

OpenStudy (anonymous):

OH. is it 9cm? Because its a radius?

ganeshie8 (ganeshie8):

Yes ! very good observation :)

OpenStudy (anonymous):

Would it be 20.25pi - 81cm^2? Because you have to times 9 and 9?

ganeshie8 (ganeshie8):

you have to times 9 and 9 and divide it by 2

ganeshie8 (ganeshie8):

area of triangle = bh/2

OpenStudy (anonymous):

Oh, duhh. 40.5

ganeshie8 (ganeshie8):

Yes !

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