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anonymous
 one year ago
HELP PLEASE!!!!
Find the area of a sector with an arc length of 60 in. and a radius of 15 in.
A.
117.75 in.²
B.
282.60 in.²
C.
450 in.²
D.
6,750 in.²
anonymous
 one year ago
HELP PLEASE!!!! Find the area of a sector with an arc length of 60 in. and a radius of 15 in. A. 117.75 in.² B. 282.60 in.² C. 450 in.² D. 6,750 in.²

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jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.0Area of a sector=\(\Large{\frac{\theta}{360} \times \pi r^2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would the answer be A?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because it says its wrong

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.360 is not the theta 60 is the distance around the curve. It's the length of the arc this shaded distance dw:1436594438367:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3if the radius is 15, then what is the total circumference?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3use the formula C = 2*pi*r

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0when i plugged it in

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yeah \[\Large 30\pi \approx 94.2477796\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3I'm going to leave it as 30pi to keep things as exact as possible

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so what i do with that

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.330pi is the entire circumference the arc length is 60 we divide the two to get the fraction of the circle in which this arc is applied to \[\Large \frac{60}{30\pi} = \frac{2}{\pi}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3now what we do is multiply that by the area pi*r^2 = pi*15^2 = 225pi \[\large 225\pi*\frac{2}{\pi} = 225\cancel{\pi}*\frac{2}{\cancel{\pi}} = 225*2 = 450\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1436594886725:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help me with another problem? @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what's your question?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Find the length of the radius of . A. 200405030700_files/i0360003.jpg B. 200405030700_files/i0360004.jpg C. 200405030700_files/i0360005.jpg D. 200405030700_files/i0360006.jpg

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. r=1 B. r= 3 C. r=12 D. r=15 i have to find the length of the radius

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3does it give you the entire circumference?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3oh wait nvm, we don't need that info

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3notice how the central angle is 4pi/9 what happens when you divide that central angle by 2pi? what do you get?

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{\theta}{360} \times 2 \pi r= s\]\[\frac{\frac{4}{9}\pi} {360} \times 2 \pi r=\frac{20}{3} \pi\]solve for 'r'.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have to put theta over 180 pi and then pi*radius

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3I guess a shortcut is to use the formula \[\Large s = \theta*r\] this formula only works if theta is in radian mode. In this case, theta = 4pi/9 and s = 20pi/3 \[\Large s = \theta*r\] \[\Large \frac{20\pi}{3} = \frac{4\pi}{9}*r\] do you see how to solve for r from here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know that the pi's cancel out right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0simplify the fractions then?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3we now have 20/3 = (4/9)*r how would you isolate r ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3divide both sides by what

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1436596805511:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3or you can multiply both sides by the reciprocal of 4/9 the reciprocal of 4/9 is 9/4 dw:1436596829027:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1436596853297:dw
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