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Mathematics 17 Online
OpenStudy (anonymous):

What is the area of sector AEB when AE = 8 yd?

OpenStudy (anonymous):

OpenStudy (akashdeepdeb):

We are given the radius/AE/EB as 8yd! And we know that the angle including the sector is 90' Thus the area of the QUADRANT is? pi*r*r/4 Just put the values in the equation and then solve it! :)

OpenStudy (anonymous):

lol the problem is idk how to do that :p

OpenStudy (akashdeepdeb):

What is the area of a circle? pi*r*r right?

OpenStudy (anonymous):

yes

OpenStudy (akashdeepdeb):

Now what is the degree of a circle = 360 right? [FROM THE CENTRE]

OpenStudy (akashdeepdeb):

And a degree of a quadrant is 90' RIGHT?

OpenStudy (anonymous):

right.

OpenStudy (akashdeepdeb):

Thus the area of the sector which has 90' included should be one-fourth of the area of the circle right?

OpenStudy (anonymous):

correct

OpenStudy (akashdeepdeb):

Let's say the angle included was 30' The formula would be pi * r * r * theta/360! [theta is the angle included in the sector]

OpenStudy (anonymous):

so i should replace 120 and 30 in place of r?

OpenStudy (akashdeepdeb):

R is the RADIUS

OpenStudy (akashdeepdeb):

theta is the angle inbetween AE AND EB!!! :)

OpenStudy (anonymous):

i knew that lol

OpenStudy (akashdeepdeb):

AREA OF A SECTOR = ARE OF CIRCLE * THETA/360 [Where theta is the angle included between the 2 radii] And in your case the angle is 90' :D

OpenStudy (akashdeepdeb):

Just substitute and You'll get the answer!!! :)

OpenStudy (akashdeepdeb):

Did you get it?

OpenStudy (anonymous):

no.......... -___-

OpenStudy (akashdeepdeb):

See you figure tells us to find the area of a sector right?

OpenStudy (anonymous):

yes sector AEB

OpenStudy (akashdeepdeb):

Exactly now if I gave you a PIZZA *WOHOO* Which only has 4 slices! Then wouldn't each slices' area be 1/4th of the entire pizza?

OpenStudy (anonymous):

lol yea

OpenStudy (anonymous):

i want pizza now thanks..

OpenStudy (akashdeepdeb):

Then same in this case AEB is just like the slice and ITS area is 1/4th of the whole circle!

OpenStudy (akashdeepdeb):

Haha... So the answer will be pi * z * z * a!!! :P No it is pi * r * r * 1/4 :)

OpenStudy (akashdeepdeb):

where r has a value of 8 yards! Get it? :)

OpenStudy (anonymous):

noo..... jk yeah i get it (:

OpenStudy (anonymous):

but check my answer plz

OpenStudy (akashdeepdeb):

How much is your answer?

OpenStudy (anonymous):

my calculator tells me that its 50.26????????

OpenStudy (akashdeepdeb):

It should be 50.26 yd^2 then okay? Enjoy and Kudos the response :)

OpenStudy (akashdeepdeb):

Good job! :)

OpenStudy (anonymous):

its wrong though

OpenStudy (anonymous):

its not one of my options

OpenStudy (akashdeepdeb):

Then the question you asked me has to be wrong!

OpenStudy (anonymous):

no its correct

OpenStudy (akashdeepdeb):

See what the question asks!

OpenStudy (anonymous):

What is the area of sector AEB when AE = 8 yd?

OpenStudy (anonymous):

thats the question

OpenStudy (anonymous):

maybe i should sqrt it?

OpenStudy (akashdeepdeb):

Why? That is not logical AT ALL!

OpenStudy (akashdeepdeb):

Try to get the concept!

OpenStudy (anonymous):

i know so what should i do?

OpenStudy (akashdeepdeb):

Is 150.28 any one of your answers?

OpenStudy (anonymous):

these are my options. 4π yd2 16π yd2 8π yd2 2π yd2

OpenStudy (akashdeepdeb):

And 16pi is 50.26 :PPP

OpenStudy (akashdeepdeb):

So it is B :)

OpenStudy (anonymous):

lol ooohhh youre right thanks!

OpenStudy (akashdeepdeb):

Good luck buddy and TRY TO GET THE CONCEPT!

OpenStudy (anonymous):

GOTCHAA!

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