Find the radius of a circle whose area is equal to the sum of the area of three circle whose radii are 3cm,4cm and 12cm.
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so the radius is equal to 13 units
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Answer: Let radius of circle to found be x
so, area of circle is πx²
area of circle with radius x= sum of areas of circle of radius 3cm, 4cm, 12cm
πx²= π3²+π4²+π12²
x²=π(3²+4²+12²)/π
x²= 3²+4²+12² (π is cancled)
x²=9+16+144
x²=169
x=√169
x=13 cm
Hope satisfied with my answer
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