Answer: The area of the region bonded by two concentric circles with radii 10 inches and 6 inches is [tex]64\pi[/tex] in²
Step-by-step explanation:
Here, two circles having radius 10 inches and 6 inches are concentric,
Also, the area of the region bounded by these circles = Area of large circle - Area of small circle. ( Circle having greater radius is called large circle while having smaller area is called small circle )
= [tex]\pi (10)^2 - \pi(6)^2[/tex]
= [tex]\pi( 10^2 - 6^2) [/tex]
= [tex] \pi ( 100 - 36 )[/tex]
= [tex] 64\pi\text{ square inches }[/tex]
Hence, The area of the region bonded by two concentric circles with radii 10 inches and 6 inches is [tex]64\pi[/tex] in²
