Circle Q is shown. Line segments P Q and R Q are radii. The length of R Q is 6. Angle P Q R is 45 degrees. Sector P Q R is shaded. Which statements are true about circle Q? Select three options.

See Explanation Below

Step-by-step explanation:

Attachment and option are missing.

But base on the given information, in the question above.

The following can be deducted

1. The length of line PQ is 6. This is so because RQ and PQ are both radii and the length of line RQ is 6; so, it's expected that PQ is also 6.

2. The area of sector PQR is ⅛th of the area of the circle.

This is so because, the angle of this sector is 45°; 45° covers 45/360 of the total area.

45°/360° = ⅛.

So, the option 2 stated above is valid.

3. Sector PQR is the smaller sector of the circle.

The size of a sector is determined by the angle it makes at the centre of the circle.

Since the angle made by the sector is 45° then there are 360° - 45° left for the other sector.

360 - 45 = 315.

Since 315 > 45 the. Sector PQR is the smaller sector