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Find the circumference of circle whose Area is 16 times the area of the circle with diameter 7 can?

Answer» Area of Circle with diameter 7 units =\xa0{tex}\\pi \\times \\frac{7}{2}^2{/tex}=\xa0{tex}\\frac{49}{4}\\pi{/tex}\xa0sq unitsArea of Bigger Circle =\xa0{tex}16 \\times\\frac{49}{4}\\pi^2{/tex}=\xa0{tex}4 \\times 49 \\pi{/tex}sq unitsNow, to find radius of bigger circle,Area of Bigger Circle =\xa0{tex}4 \\times 49 \\pi{/tex}sq units{tex}\\pi{/tex}R2\xa0=\xa0{tex}4 \\times 49 \\pi{/tex}R2\xa0= 4 x 49R = 2 x 7 = 14 unitsTherefore, Circumference of Bigger Circle = 2{tex}\\pi{/tex}R = 2{tex}\\pi{/tex}(14) = 28{tex}\\pi{/tex} units


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