Mathematics
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OpenStudy (anonymous):
HELP!! Will give medal!
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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??
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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?
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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
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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?
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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.
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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
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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
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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
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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.