Question

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 ZLOM to the measure

of the whole circle is 1

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 1

Answer:

1, 3, and 4

Step-by-step explanation:

Answer 2

The true statements about the circle are as follows:

• The area of the shaded sector depends on the length of the radius.
• The area of the shaded sector depends on the area of the circle.
• The ratio of the measure of central angle PQR  to the measure of the entire circle is 1 / 8

Area of a sector

area of a sector = ∅ / 360 × πr²

where

• r = radius
• ∅ = central angle

Hence,

area of the shaded portion = 45 / 360 × π × 6²

area of the shaded portion = 4.5π

Therefore, the area of the shaded sector depends on the length of the radius.

The area of the shaded sector depends on the area of the circle.

The central angle PQR is 45 degrees. The measure of the entire circle is 360 degrees. Therefore, the ratio of the measure of central angle PQR  to the measure of the entire circle is 1 / 8.

learn more on circle here: https://brainly.com/question/15656820

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