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Nesterboy [21]
3 years ago
7

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. Wh

ich ratio represents the are of the sector for circle Q to the area of the sector for circle R
Mathematics
2 answers:
Rus_ich [418]3 years ago
7 0

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

MissTica3 years ago
4 0
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.

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