Respuesta :
Answer:
[tex] A =\pi r^2 = \pi (2ft)^2 = 4\pi[/tex]
With A the entire area of the circle
[tex] A_s = \frac{\pi}{360} \pi r^2 [/tex]
Since the area of a sector is a fraction of the entire area. Replacing the info given we got:
[tex]A_s = \frac{310}{360} 4\pi = 10.82 ft^2[/tex]
And then the best option for this case would be:
10.82 square feet
Step-by-step explanation:
For this case we know the radius of the circle [tex] r = 2ft[/tex] and the area of the circle would be given by:
[tex] A =\pi r^2 = \pi (2ft)^2 = 4\pi[/tex]
We also know that we have a sector with a central angle of 310 degrees and the area for this sector would be given by:
[tex] A_s = \frac{\pi}{360} \pi r^2 [/tex]
Since the area of a sector is a fraction of the entire area. Replacing the info given we got:
[tex]A_s = \frac{310}{360} 4\pi = 10.82 ft^2[/tex]
And then the best option for this case would be:
10.82 square feet
