anonymous
  • anonymous
An arc length 5 feet subtends central thetaa,in a circle with a piameter 7 feet. a)Determine the area of the exact radian measure of theta b)Determine the area of the sector with central angle theta c)determine the peremeter and the sector
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
What is the circumference of the circle?
anonymous
  • anonymous
360 degrees
Mertsj
  • Mertsj
Circumference of a circle is pi times diameter. What is the circumference of the circle?

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anonymous
  • anonymous
pie r ^2?
Mertsj
  • Mertsj
\[C=\pi d\]
anonymous
  • anonymous
is d diameter?
Mertsj
  • Mertsj
yes. Didn't you read what I wrote earlier: Circumference of a circle is pi times diameter.
anonymous
  • anonymous
yea i am just making sure
anonymous
  • anonymous
so c would be pie7
Mertsj
  • Mertsj
Yes. The circumference is 7 pi.
Mertsj
  • Mertsj
What is the measure of the arc according to the problem?
anonymous
  • anonymous
the arc is 5 feet
Mertsj
  • Mertsj
So the arc is this fractional part of the circle: \[\frac{5}{7\pi}\]
Mertsj
  • Mertsj
Do you understand that?
anonymous
  • anonymous
yes i do
Mertsj
  • Mertsj
I see that you know a circle is 360 degrees. How many radians is a circle?
anonymous
  • anonymous
ummmm im not sure is it 4
Mertsj
  • Mertsj
360 degrees = 2 pi radians
anonymous
  • anonymous
aw k i didnt know
Mertsj
  • Mertsj
So a circle is 2 pi radians. So find theta. It is: \[\frac{5}{7\pi} \times 2\pi \]
anonymous
  • anonymous
it =10
Mertsj
  • Mertsj
|dw:1370658872134:dw|
anonymous
  • anonymous
sory i press the wrong thing
Mertsj
  • Mertsj
So this is what we have now:
anonymous
  • anonymous
ok i think i sometimes have problems trying to figure out how to start these types of questions .
anonymous
  • anonymous
cus they ask for so much
Mertsj
  • Mertsj
|dw:1370658939000:dw|
Mertsj
  • Mertsj
Now find the area of the entire circle and multiply it by 10/7 to find the area of the sector.
anonymous
  • anonymous
when they say area of a sector we think of the circle right?
Mertsj
  • Mertsj
We think of the slice of the circle shown in the drawing.
Mertsj
  • Mertsj
|dw:1370659127178:dw|
Mertsj
  • Mertsj
That is the sector.
anonymous
  • anonymous
and peremieter is the whole circle aye
anonymous
  • anonymous
i have 10/7 mulitplied by 360/1
Mertsj
  • Mertsj
You need to find the area of the circle.
anonymous
  • anonymous
k

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