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# Geometry Problems

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Could you be a doll and help me out with these? I am having a bit of a problem. 1. What is the measure of AC?

2. Circle A is intersected by LM and MO. What is the measure of LMO? Answer as a decimal.

3.

The sector of a circle with a 60 millimeters radius has a central angle measure of 30 degrees.

What is the exact area of the sector in terms of π?

Guest Jun 1, 2017
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1. An inscribed angle measures 1/2 of its intercepted arc

So  (1/2)AC  = 25°         multiply both sides by 2

AC  = 50°

2.   LMO   =  (1/2)(148°  -  59°)  =  (1/2) (89°)   =  44.5°

3.  Area of the sector =  (1/2)(60)^2 (pi/ 6)  =  3600pi/12   =  300 pi mm^2

CPhill  Jun 1, 2017
edited by CPhill  Jun 1, 2017
edited by CPhill  Jun 1, 2017

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