Answer:
≈ 11.34 units²
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 3.5)² + (y - 2.82)² = 25 ← is in standard form
with r² = 25 ⇒ r = 
= 5
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 5² ×
= π × 25 ×
= 
≈ 11.34 units² ( to the nearest hundredth )
Answer:
A) When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. True.
The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.
B) If a region is revolved about the y-axis, then the shell method must be used. False.
This method can be used with any axis of rotation.
C) If a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.
The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.
