Which statements are true? Check all that apply. The central angle measure created by the shaded region is 40°. The central angle measure created by the shaded region is 20°. The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth. Circle O can be divided into a total of 9 sectors equal in area to sector LOM. Circle O can be divided into a total of 10 sectors equal in area to sector LOM.

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Answer:

The central angle measure created by the shaded region is 40°.

The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.  

Circle O can be divided into a total of 9 sectors equal in area to sector LOM

Step-by-step explanation:

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The true statements about the circle (Image attached) shows that:

  • The central angle measure created by the shaded region is 40°.
  • The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.  
  • Circle O can be divided into a total of 9 sectors equal in area to sector LOM.

What is the central angle?

The term central angle is known to be a type of an angle that is said to be formed by two radii of a circle.

When you look at the attached image, you can see that the 2 radii that forms the central angle is depicted by the shaded region which is said to have an angle of 40°. The sum of Circle O is one that can be shared into  9 equal sectors and that can be also equal in area to sector that is marked LOM.

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