the radius of one circular field is 5 metre and that of other is 3 find the radius of the circular field whose area is the difference of the areas of the first and second field
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Let A1 = the area of the circular field whose radius is 5 m [given]
A2 = the area of the circular field whose radius is 13 m [given]
Now we have to find the area of circular field such that area is the difference of the areas of first and second field
A3 = A2 – A1
⇒ πr2 = π(13)2 – π(5)2
⇒ πr2 = π(13)2 – π(5)2
⇒ πr2 = π[(13)2 – (5)2]
⇒ r2 = 169 – 25
⇒ r2 = 144
⇒ r = 12 m
Hence, the radius of the circular field is 12 m.
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