Circle q and circle r have a central angle measuring 75°. the ratio of circle q's radius to circle r's radius is 2: 5. which ratio represents the area of the sector for circle r to the area of the sector for circle q?

In this question, it is given that

Circle Q and circle R have a central angle measuring 75°. The ratio of circle Q's radius to circle R's radius is 2:5.

And the formula of area of sector is

And the radius are in the ratio 2:5.

Let the radius are 2x and 5x. SO area of sectors are

And the ratio is

So for the ratio of the area of sectors of circle R to Q, it is