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MA466
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The area of the circle is 49pie and peremeter of sector OABC 03 May 2006, 20:53
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The area of the circle is 49pie and peremeter of sector OABC is 14+(35pie/12) what is the value of t?

a) 56

b) 72

c) 75

d) 80

e) 85



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The area of the circle is 49pie and peremeter of sector OABC 03 May 2006, 21:06
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Angel of the arc ABC
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TeHCM
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The area of the circle is 49pie and peremeter of sector OABC 03 May 2006, 21:14
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C. 75

Just setup the ratio (35pie/12)/14pie = x/360
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The area of the circle is 49pie and peremeter of sector OABC 03 May 2006, 21:18
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Can you pls explain it to me more clearly?
ma466
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The area of the circle is 49pie and peremeter of sector OABC 03 May 2006, 21:26
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Sure

we know the radius is 7 and the perimeter of sector OABC is 14 + (35pie/12), therefore we know the length of the arc is (35pie/12), so we can setup an equal ratio to find out the angle of OABC

lenth of arc / circumference = angle of OABC/ interior circle angle

Sorry I'm not very good at explaining maybe someone else can do it better
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The area of the circle is 49pie and peremeter of sector OABC 04 May 2006, 02:59
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Area of circle = 49 pi
Therefore radius = 7

length of arc = (n/360) circumference
= (n/360) 2*pi *r

Perimeter of arc = radius + radius + length of arc
= 14 + (n/360)2*pi*r

ie.. 14+(35pi/12) = 14 + (n/360)2*pi*r

ie. (n/360) 2*pi *r = 35*pi /12

Solving this we get n = 75.
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The area of the circle is 49pie and peremeter of sector OABC 04 May 2006, 07:30
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Thanks Ramgeo for your explanation. You guys are genius in math. When you guys answer promptly, it seems like i am the most dummest person in math in this forum. It is right that i am not good at math.
ma466



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