Which statements are true about circle q? check all that apply.

the ratio of the measure of central angle pqr to the measure of the entire circle is 1/8 .
the area of the shaded sector is 4 units2.
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 area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.

The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8; 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.

Step-by-step explanation:

The measure of the central angle is 45°.  The measure of the entire circle is 360°.  This makes the ratio of the central angle to the entire circle

45/360 = 9/72 = 1/8

To find the area of the shaded sector, we will find the area of the circle and multiply it by 1/8:

A = πr² = π(6²) = 36π

1/8(36π) = 36π/8 = 18π/4 = 9π/2 = 4.5π square units.  This is not 4 square units.

The area of the shaded sector depends on the radius of the circle, since we use the radius of the circle to find the area.

The area of the shaded sector also depends on the area of the circle, as the sector is a portion of the circle.

The ratio of the area of the shaded sector to the area of the circle would not be the same as the ratio of the length of the arc to the area of the circle; it would be the same as the ratio of the length of the arc to the circumference of the circle (area is not a measurement of length, circumference is).

b

step-by-step explanation: