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The radius of a 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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5 m

8 m

10 m

12 m

answer is D.

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Detailed Solution

Given the radius of a circular field is 5 m and that of the other is 13 m.
According to the question,
Area of circle is

π r 2

.
Let the radius of required field is r.
Area of required field = area of field with 13m radius – area of field with 5m radius

⇒ π r 2 = π 132 − π 52

⇒ r 2 = 169 − 25

⇒ r 2 = 144

⇒ r = 12

Therefore, the radius is 12 m.
Hence, option 4 is correct.

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