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Mathematics 4 Online
zarkam21 (zarkam21):

Help again, will medal

OpenStudy (aaronandyson):

*does not helps*

zarkam21 (zarkam21):

@mathmate ^

zarkam21 (zarkam21):

OpenStudy (baru):

let the radius of the circle be 'r' and area of the shaded region be A can you use the same formula you used for the earlier problem and write the expression for the area of the shaded region in terms of 'r' and 'A'

zarkam21 (zarkam21):

So, would it be \[\frac{ 90 }{ 360 } \times 3.14 \times {18}^2\]

zarkam21 (zarkam21):

Which would equal 254.34

OpenStudy (baru):

no, 18 is the area of the whole circle we don't know the radius. so just leave it as 'r'\[A=\frac{ 90 }{ 360 } \times 3.14 \times {r}^2\] ok so far?

zarkam21 (zarkam21):

Ohhhh okay I understand noow

zarkam21 (zarkam21):

I'm okay so far

OpenStudy (baru):

we know the the area of the whole circle is 18. so we have \[3.14 \times r^2=18\] followed?

zarkam21 (zarkam21):

Yes that is right

zarkam21 (zarkam21):

Where did you get the 18 from

OpenStudy (baru):

its given in the question, 18 is the area of the WHOLE cirlce

zarkam21 (zarkam21):

Oh yes yes that is right

zarkam21 (zarkam21):

Sorry lol

OpenStudy (baru):

now look at\[A=\frac{ 90 }{ 360 } \times \color{red}{3.14 \times {r}^2}\] the part marked in red is the same as the formula for the whole circle, so we can replace that with 18 \[A=\frac{ 90 }{ 360 } \times \color{red}{18}\] ok?

zarkam21 (zarkam21):

Ohhhh okay,so since we are already given the area for the entire circle, we just substitute that in? Right?

OpenStudy (baru):

yep :) so what do you get as your final answer?

zarkam21 (zarkam21):

4.5

OpenStudy (baru):

looks good :)

OpenStudy (aaronandyson):

Baru,Please put in the correct unit. 4.5 square feet.

zarkam21 (zarkam21):

It is not square feet, its square cm :)

zarkam21 (zarkam21):

Thank you @baru

OpenStudy (baru):

@AaronAndyson thanks for pointing that out, its very important to put in the units, and it is square feet, since the question gives 18ft^2

OpenStudy (aaronandyson):

No Problem @baru :)

zarkam21 (zarkam21):

Oh okay , thanks to you both

OpenStudy (baru):

you're welcome :)

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