find the circumference of a circle whose area is 4 times the area of a circle with diameter 21 CM
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Answer:
132 cm
Step-by-step explanation:
diameter of smaller circle = 21cm
radius = 21/2 cm
area of smaller circle = (22/7)(21/2)^2 = 693/2 sq.cm
now area of big circle = 4 x area of smaller circle = 4 x693/2 = 1386 sq.cm
let the radius of big cirle be r cm
=> πr∧2 = 1386
⇒ r∧2 = 1386 x7/22
⇒r∧2 = 441
⇒r = 21 cm
circumference of big circle = 2πr = 2 x(22/7)x21 = 132cm
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