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The area of a circular ring is 352 m². If the diameter of its outer circle is 32 m, find the
diameter of its inner circle.
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Answer:
The inner diameter is 24 m
Step-by-step explanation:
area of ring = 352 m*2
outer diameter = 32 m
outer radius = 16 m
now , area of ring = π(R*2-r*2). ( r is the inner radius and R is outer radius )
now ,, 352 = π( 16*2 - r*2 )
352 = 22/7 ( 256 - r*2 )
352× 7/22 = 256 - r*2
112 = 256 - r*2
112 - 256 = - r*2
- 144 = - r*2
+ 144 = + r*2
taking square root both side
√144 = √ r*2
12 = r
Inner radius = 12 m
Inner diameter = 12× 2 = 24 m
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