Answer:
see below
Step-by-step explanation:
s = r theta where r is the radius and theta is the central angle in radians
theta = 80 * pi/180 = 4 pi/9
PQ = 10 * 4 pi/9
= 40 pi/9 ft
To find the area of the sector, first find the area of the circle
A = pi r^2
= pi ( 10)^2
= 100 pi
The sector is 80/360 = 2/9 so the sector is 2/9 of the circle
Multiply the area by the fraction of the circle that the sector is
100 pi* 2/9 = 200 pi /9 ft^2
