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Mathematics 17 Online
OpenStudy (anonymous):

HELP!! Will give medal!

OpenStudy (anonymous):

OpenStudy (anonymous):

how do i solve 3A?

OpenStudy (valpey):

arc AB is 100 degrees. The Circle is 360 degrees. It looks like the radius of the circle is 5.

OpenStudy (anonymous):

alright, thank you!! :)

OpenStudy (anonymous):

sorry, but do you know how to do 3B??

OpenStudy (valpey):

The arc length will be a fraction of the circumference of the circle.

OpenStudy (anonymous):

mhm

OpenStudy (valpey):

Similarly, the Area of the Sector will be a fraction of the Area of the Circle

OpenStudy (anonymous):

the area of the entire circle is 78.54

OpenStudy (valpey):

Great. So what fraction of the circle is the arc?

OpenStudy (anonymous):

100

OpenStudy (valpey):

That's not a fraction. That is the number of degrees in the arc.

OpenStudy (anonymous):

hm how would i find the fraction?

OpenStudy (valpey):

How many degrees are in a circle?

OpenStudy (anonymous):

360

OpenStudy (valpey):

Any way to build a fraction out of those two numbers?

OpenStudy (anonymous):

360 and which number

OpenStudy (valpey):

If your circle was made up of 360 super-thin slices of pizza, how many pieces of pizza would be in your sector?

OpenStudy (anonymous):

i dont follow :(

OpenStudy (valpey):

What is a degree measuring?

OpenStudy (anonymous):

when you find the measure of opening of a sector

OpenStudy (valpey):

If I had cut my pizza into four pieces, how many degrees would the arc of each pizza have?

OpenStudy (anonymous):

90

OpenStudy (valpey):

Okay, and in this case instead we start by knowing that arc AB is 100 degrees.

OpenStudy (valpey):

So we have more than 1/4 of the pizza.

OpenStudy (anonymous):

yes

OpenStudy (valpey):

How much of the pizza do we have (as a fraction)?

OpenStudy (anonymous):

i dont know to find the fraction, how would i count it

OpenStudy (valpey):

How about we imagine 36 slices of pizza, each with 10 degree arcs.

OpenStudy (anonymous):

okay

OpenStudy (valpey):

So how many slices in our sector?

OpenStudy (anonymous):

10

OpenStudy (anonymous):

yes?

OpenStudy (valpey):

Yes. So 10 slices in our sector out of how many slices total again?

OpenStudy (anonymous):

10 out of 36

OpenStudy (valpey):

Yes. That is our fraction. The same as 100/360.

OpenStudy (anonymous):

oh okay! so the area needs to be divided by 10 then

OpenStudy (valpey):

Not exactly. The area needs to be multiplied by our fraction.

OpenStudy (valpey):

If I have 40 acres and I give each of my 4 kids 1/4 of my land, they each have 40*(1/4) = 10 acres of land.

OpenStudy (anonymous):

21.8

OpenStudy (anonymous):

21.8 would be the area of ab

OpenStudy (valpey):

Sounds good to me

OpenStudy (anonymous):

thank you for explaining everything to me i appreciate it :-)

OpenStudy (valpey):

Sure thing. Good job sticking through it. Always pays off to keep going.

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