Points L and M lie on a circle centered at O, and the measure of arc LM on this circle is 72 degrees. The circle passing through points O, L, and M is drawn. Find the measure of arc LPM on the larger circle, in degrees.
+526 Idk but how to solve unless the radius is given? Circle LOM is irrelevant to the question.
+2489 Solution:
If the arc of LM is 72° on the larger circle, then the arc LPM on the larger circle is
360 - 72 = 288°
Am I missing something? 
--. .-
+526 No that's not right measure of arc is given in degrees or radian but that doesn't mean you can simply subtract it from 360 to calculate the length of larger arc. The formula for length of arc is
length of arc \(= \theta × {\pi r\over 180}\)
where \(\theta\) is the angle subtended by respective arc at the centre and r is the radius.
So, we need the radius to calculate..
+2489 Hi Amy,
The question only asks for the arc (an angular measure) of LPM, in degrees. It gives the arc of LM as 72 degrees.
All circles have 360 degrees, and all angular measurements of a circle are constant for any radius.
Of course, the linear measure of the arc length is proportional to the radius.
--. .-
GA
+526 Oh okay Ginger I guess I might've overthought it again... thanks for clarifying 
