If the sector 90º it means it's a quadrant (quarter of a circle) since:
360 / 4 = 90
The formula to finding the area of a quadrant is:
[tex] a = \frac{1}{4} \pi r^{2} [/tex]
[tex] A = \frac{1}{4} \pi 1^{2} [/tex]
[tex] A = \frac{1}{4}\pi * 1 [/tex]
[tex] A = \frac{1}{4} \pi [/tex]
[tex] A = \frac{1}{4} * 3,14 [/tex]
[tex] A = \frac{3,14}{4} [/tex]
[tex] A = 0,785~sq.~ft. [/tex]
Answer:
[tex] \boxed{\bf~The~area~of~the~quadrant~is~0,785~ft.^{2}} [/tex]
Hope it helped,
BioTeacher101
