The area of two concentric ring is 726cm²,find the area of the larger circle if the perimeter of the smaller circle is 44cm
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Step-by-step explanation:
Correct option is
A
43.98 sq. cm
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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