Answer: 45
Step-by-step explanation: This is because after you plug in all the information you calculate it and you get 45. Plugged in, the information would look like 2pi/16pi=x/360. I hope this helped.
Angle measure of an arc bounding a sector with area 2 square centimeters is equals to [tex]\frac{45}{\pi }[/tex].
" Sector of a circle is that part of the circle which is enclosed by two radii and the arc included in those two radii."
Formula used
Area of a sector = θ × [tex]\frac{\pi (r)^{2 }}{360}[/tex]
According to the question,
Area of a sector = 2 square centimeters
diameter of a circle = 8 centimeter
⇒ Radius(r) = 4 centimeter
Substitute the value in the formula
2 = θ × [tex]\frac{\pi (4)^{2} }{360}[/tex]
⇒ θ = 2 × 360 / (16π)
⇒ θ = [tex]\frac{45}{\pi }[/tex]
Hence , the angle measure of an arc bounding a sector with area 2 square centimeters is equals to [tex]\frac{45}{\pi }[/tex].
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