+0  
 
0
120
3
avatar

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.

 

 Dec 15, 2021
 #1
avatar+13724 
+1

 Find the measure of arc LPM.

 

Hello Guest!

 

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?

laugh  !

 Dec 15, 2021
edited by asinus  Dec 16, 2021
 #2
avatar
0

Arc LPM = 360 - 72

 

What is the measure of arc LOM? frown

 Dec 16, 2021
 #3
avatar+13724 
+1

What is the measure of arc LOM?

\(arc\ LOM=72\ Degrees=\frac{9}{20}\pi\)

asinus  Dec 17, 2021

15 Online Users

avatar
avatar
avatar