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Sedaia [141]
3 years ago
9

In a circle, a 90° sector has area 64π ft2. Solve for the radius of the circle. A. 16 ft. B. 12 ft. C. 18 ft. D. 8 ft.

Mathematics
2 answers:
aleksklad [387]3 years ago
4 0

Answer:

The radius of circle is 16 ft

Step-by-step explanation:

Given in a circle a 90° sector has area 64\pi ft^2

we have to find the radius of circle.

Sector angle=90°

Area=64\pi ft^2

The formula to find the area of sector is

\text{Area of sector=}\frac{\theta}{360^{\circ}}\times \pi r^2

64\pi =\frac{90^{\circ}}{360^{\circ}}\times \pi r^2

256=r^2

r=\sqrt{256}=16 ft

The radius of circle is 16 ft

Option A is correct.

SSSSS [86.1K]3 years ago
3 0
The answer is A. Working the formula backwards you get that r^2=256, so r=16
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