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

Answer:

Central Angle of Circle Q and Circle R = 75°

Ratio of circle  Q’s radius to circle R’s radius $=\frac{3}{4}$

Let  $A_{1},A_{2}$ represent area of sector for circle Q and area of  sector for circle R.

$\frac{A_{1}}{A_{2}}=\frac{\frac{\pi (r_{1})^2*75^{\circ}}{360^{\circ}}}{\frac{\pi (r_{2})^2*75^{\circ}}{360^{\circ}}}\\\\\frac{A_{1}}{A_{2}}=[\frac{r_{1}}{r_{2}}]^2\\\\ \frac{A_{1}}{A_{2}}=[\frac{3}{4}]^2\\\\ \frac{A_{1}}{A_{2}}=\frac{9}{16}$

Option D: 9:16