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