K.Binks
  • K.Binks
Point C is the center of the circle. Angle ACB measures 49 degrees. What is the measure of arc ADB?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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K.Binks
  • K.Binks
anonymous
  • anonymous
What's your insight on this?
anonymous
  • anonymous
Intuitively you would think that the degree is the same when line is drawn connecting the three points

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More answers

anonymous
  • anonymous
However after careful scrutiny you would notice that D is indeed not on the straight line
anonymous
  • anonymous
Do you know the radius of the circle?
anonymous
  • anonymous
It would be impossible to determine the length without knowing the radius unless you are talking in ratios.
K.Binks
  • K.Binks
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.
anonymous
  • anonymous
arc is the radian
K.Binks
  • K.Binks
How do I find that?
anonymous
  • anonymous
\[49 \times \frac{ \pi }{ 180 }\]
anonymous
  • anonymous
but it still doesnt make sense since you dont have the radius or any information of D
K.Binks
  • K.Binks
So then how do I answer?
anonymous
  • anonymous
what options have you got?
K.Binks
  • K.Binks
None, this one isn't multiple choice
anonymous
  • anonymous
good luck :)
anonymous
  • anonymous
if the circle has a radius of 1 unit, its something close to pi*radius. thats all i can tell you, sorry
K.Binks
  • K.Binks
It doesn't tell me the radius or diameter at all... Thanks anyway
anonymous
  • anonymous
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??
anonymous
  • anonymous
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
K.Binks
  • K.Binks
No, that's it, thats all I was given
anonymous
  • anonymous
Then there is definitely some information missing in the question I think, it is incomplete.
K.Binks
  • K.Binks
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?
K.Binks
  • K.Binks
Or I'm completely wrong... I can just skip this one, if it cant be solved
K.Binks
  • K.Binks
I meant 360, not 180**
K.Binks
  • K.Binks
I'll just skip this one I guess, thank ya'll anyway
JoannaBlackwelder
  • JoannaBlackwelder
If it is asking for the degree measure of the arc, it is equal to the central angle measure of the circle.
JoannaBlackwelder
  • JoannaBlackwelder
I'm guessing that A, C, and D are supposed to be in a straight line.
JoannaBlackwelder
  • JoannaBlackwelder
@K.Binks
JoannaBlackwelder
  • JoannaBlackwelder
Any ideas using that info?
K.Binks
  • K.Binks
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
JoannaBlackwelder
  • JoannaBlackwelder
Yep, perfect!

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