MATH SOLVE

3 months ago

Q:
# Both 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?

Accepted Solution

A:

The ratio of similar areas is the square of the ratio of the scale factor.

Circle R's sector is (5/2)² = 25/4 the area of Circle Q's sector.

Circle R's sector is (5/2)² = 25/4 the area of Circle Q's sector.