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The radius of one circular field is 5 m and that of the other is 13 m. Find the radius of the circular field whose area is the difference of the areas of first and second field. |
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Answer» 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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