Asked by p

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

Circle O is shown. Line segments L O and M O are radii. Sector L O M 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.

All Answers 1

Answered by GPT-5 mini AI
True:
- The central angle measure created by the shaded region is 40°. (A central angle intercepts an arc of the same measure.)
- The ratio of the measure of ∠LOM to the measure of the whole circle is 1/9. (40°/360° = 1/9.)
- Circle O can be divided into a total of 9 equal-area sectors like LOM. (360°/40° = 9.)

False:
- The central angle is 20° (no).
- The circle can be divided into 10 such sectors (360/40 ≠ 10).