angle in a circle

[datdat]

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there's 2 angles sharin the same arc as you can see from the plot

bigger angle starts at the center of the cirle and the smaller angle is 50 then the bigger one is 100...

but I don't know how should i get this angle. could anyone can help me?

thanks

 

[UCB05]

Is that all you have to work with? Because the only way to know the measurement of the angle then is to eyeball it and know the angle size.

If there's other info, remember:
The size of an angle whose vertex is at the center of the circle is the measure of the arc length enclosed by the angle.
The size of an angle sharing that same arclength with a vertex on the perimeter of the circle is half the arclength.

Of course, you can't know any of these values unless you're given a piece of information to work off of or you have a protractor

 

[arginine1]

I'd like to help you but I'm confused.. did they tell you that one was 50 and another was 100? Otherwise, what information did they provide you with exactly?

 

[dennisDDS]

When you have two angles drawn like the that the bigger angle is always 2X what the smaller one was..


So you would go 2(50) = 100

if they have given you the bigger one to be say 90
the smaller angle would be = 45..

I remember reading this somewhere and thinking how dumb... lol..

 

[datdat]

When you have two angles drawn like the that the bigger angle is always 2X what the smaller one was..

<----- actually my question was why is that?