the area of the ring formed by two concentric circle is 726 cm².find the area of the larger circle,if the perimeter of the smaller circle is 44 cm?
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Answer:
Let the radii of the outer and inner circles be r
2
and r
1
respectively; we have
Area=πr
2
2
−πr
1
2
=π(r
2
2
−r
1
2
)
=π(r
2
−r
1
)(r
2
+r
1
)
=π(5.7−4.3)(5.7+4.3)=π×1.4×10 sq. cm
=3.1416×14sq.cm.=43.98 sq. cm
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