Question

both circle Q and circle R have a central angle measuring 75. the ratio of the circle Q’s radius to circle R’s radius is 3/4. Which ratio represents the are of the sector for circle Q to the area of the sector for circle R

Answer 1

Are there any answer choices? I'm pretty of an answer but I wanna se if its on the answer choices u have... if not ill just tell u what I think.

Answer 2

Central Angle of Circle Q and Circle R = 75°

Ratio of circle Q’s radius to circle R’s radius
`=(3)/(4)`

Let
`A_(1),A_(2)` represent area of sector for circle Q and area of sector for circle R.

`(A_(1))/(A_(2))=((\pi (r_(1))^2*75^(\circ))/(360^(\circ)))/((\pi (r_(2))^2*75^(\circ))/(360^(\circ)))\\\\(A_(1))/(A_(2))=[(r_(1))/(r_(2))]^2\\\\ (A_(1))/(A_(2))=[(3)/(4)]^2\\\\ (A_(1))/(A_(2))=(9)/(16)`

Option D: 9:16