Answer:
Unshaded sector = 78.5
Shaded Sector = 628
Step-by-step explanation:
There are two sectors there. I'll do them both.
Unshaded
The central angle of the unshaded part is 360 - 320 = 40 degrees.
r = 15
pi = 3.14
Area sector = theta/360 * pi *r^2
Area Small sector = (40/360) * 3.14 * 15^2 Reduce 40/360 expand 15^2
Area Small Sector = (1/9) * 3.14 * 225 combine
Area Small sector = 78.5
Shaded sector
Area Large sector = (320/360) * 3.14 * 15^2
Area Large Sector = 628
