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K.Binks

  • one year ago

Point C is the center of the circle. Angle ACB measures 49 degrees. What is the measure of arc ADB?

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  1. K.Binks
    • one year ago
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  2. anonymous
    • one year ago
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    What's your insight on this?

  3. anonymous
    • one year ago
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    Intuitively you would think that the degree is the same when line is drawn connecting the three points

  4. anonymous
    • one year ago
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    However after careful scrutiny you would notice that D is indeed not on the straight line

  5. anonymous
    • one year ago
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    Do you know the radius of the circle?

  6. anonymous
    • one year ago
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    It would be impossible to determine the length without knowing the radius unless you are talking in ratios.

  7. K.Binks
    • one year ago
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    I'm not really sure, I don't remember the cirlce's unit very well. Is the arc the same as the angle? or doubled? or I could be totally wrong. What I have in the question is all the information I have.

  8. anonymous
    • one year ago
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    arc is the radian

  9. K.Binks
    • one year ago
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    How do I find that?

  10. anonymous
    • one year ago
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    \[49 \times \frac{ \pi }{ 180 }\]

  11. anonymous
    • one year ago
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    but it still doesnt make sense since you dont have the radius or any information of D

  12. K.Binks
    • one year ago
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    So then how do I answer?

  13. anonymous
    • one year ago
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    what options have you got?

  14. K.Binks
    • one year ago
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    None, this one isn't multiple choice

  15. anonymous
    • one year ago
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    good luck :)

  16. anonymous
    • one year ago
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    if the circle has a radius of 1 unit, its something close to pi*radius. thats all i can tell you, sorry

  17. K.Binks
    • one year ago
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    It doesn't tell me the radius or diameter at all... Thanks anyway

  18. anonymous
    • one year ago
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    Use the formula \[l=r.\theta\] where l is arc length, r is radius and theta is the angle subtended(measured in radians) clearly r is constant for a given circle so \[l_{1}=r.\theta_{1}\] and \[l_{2}=r.\theta_{2}\]\[\frac{l_{2}}{l_{1}}=\frac{\theta_{2}}{\theta_{1}}\] Using this we can calculate for arc length \[l_{2}=\frac{\theta_{2}}{\theta_{1}}.l_{1}\] Now you are neither given l1 nor theta 2, although one would think theta 2 is 180 degrees, it could be wrong, is there more information given in the question??

  19. anonymous
    • one year ago
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    You don't need to convert to radians here though, if u just use degrees for both angles u'll be fine as their units cancel out

  20. K.Binks
    • one year ago
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    No, that's it, thats all I was given

  21. anonymous
    • one year ago
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    Then there is definitely some information missing in the question I think, it is incomplete.

  22. K.Binks
    • one year ago
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    I'm just looking for the arc length, is there no way to get that from this information? I thought I just needed to find the length of AB then subtract that from 180 and the rest was ADB. But I can't solve for AB without the radius?

  23. K.Binks
    • one year ago
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    Or I'm completely wrong... I can just skip this one, if it cant be solved

  24. K.Binks
    • one year ago
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    I meant 360, not 180**

  25. K.Binks
    • one year ago
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    I'll just skip this one I guess, thank ya'll anyway

  26. JoannaBlackwelder
    • one year ago
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    If it is asking for the degree measure of the arc, it is equal to the central angle measure of the circle.

  27. JoannaBlackwelder
    • one year ago
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    I'm guessing that A, C, and D are supposed to be in a straight line.

  28. JoannaBlackwelder
    • one year ago
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    @K.Binks

  29. JoannaBlackwelder
    • one year ago
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    Any ideas using that info?

  30. K.Binks
    • one year ago
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    How do I solve for the arc measure that way? The whole circle equals 360, I'm given the arc AB, which is 49 (right?) and they're looking for arc ADB, so just 360-49= 311.. right? @JoannaBlackwelder

  31. JoannaBlackwelder
    • one year ago
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    Yep, perfect!

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