Respuesta :

Area bounded by the concentric circles is 200.96 inches

Step-by-step explanation:

Step 1 :

Given

radius of the outer circle = 10 inches

So the area of this circle  = [tex]\pi[/tex] × r² =  = [tex]\pi[/tex] × 10² = 100  [tex]\pi[/tex]

radius of the inner circle  = 6 inches

So the area of this circle  = [tex]\pi[/tex] × r² =  = [tex]\pi[/tex] × 6² = 36  [tex]\pi[/tex]

Step 2 :

The area bounded by concentric circles can be found by subtracting the inner circle's area from the outer circle's area.

Hence area bounded by the concentric circles = 100  [tex]\pi[/tex] - 36  [tex]\pi[/tex] = 64  [tex]\pi[/tex] = 64 * 3.14 = 200.96 inches

Step 3 :

Answer :

Area bounded by the concentric circles is 200.96 inches