High School

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c LM on circle O has a measure of 40°.

Circle O is shown. Line segments LO and MO are radii. Sector LOM is shaded.

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.

Answer :

The statements that are true are;

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?

A central angle can be defined as an angle whose vertex is the center O of a circle and whose radii intersecting the circle in two distinct points

Note that;

The two radii are L O and MO

The measure of the angle is 40°

The sector is LOM

From the information given, it can be deduced 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

It can also be deduced that the circle can be divided into 9 equal sectors.

Thus, the statements that are true are;

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.

Learn more about a circle here:

https://brainly.com/question/17040970

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Rewritten by : Jeany