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.
+14903 Find the measure of arc LPM.
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Over an arc of a circle, the peripheral angle = 1/2 central angle.
\({\color{blue} ∠\ LPM}=\frac{1}{2}\cdot ∠\ LOM\\ {\color{blue}∠\ LPM=36^o}=\frac{1}{2}\cdot 72^o\)
The arc of the large circle from L via P to M is equal to 360 ° - 72 °, i.e. 288 °.
What is the meaning of the smaller circle, please?
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