THE CIRCUMFERENCE OF TWO CONCENTRIC CIRCLES FORMING A RING ARE 88 CM AND 66 CM RESPECTIVELY.WHAT IS THE WIDTH OF THE RING?
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Let circumference of two circles be C1 and C2,and radius of two circles be r1 and r2.
C1=88cm
2Πr1=88cm
2×22/7r1=88cm
r1=88×7/2×22
r1= 14cm
C2=66cm
2Πr2=66cm
2×22/7×r2=66cm
r2=66×7/2×22
r2=21/2cm
width of ring = area of outer circle -area of inner circle
=>Πr1^2-Πr2^2
=>Π(r1^2-r2^2)
=>22/7(14×14-21/2×21/2)
=>22/7×343/4
=>269.5cm
C1=88cm
2Πr1=88cm
2×22/7r1=88cm
r1=88×7/2×22
r1= 14cm
C2=66cm
2Πr2=66cm
2×22/7×r2=66cm
r2=66×7/2×22
r2=21/2cm
width of ring = area of outer circle -area of inner circle
=>Πr1^2-Πr2^2
=>Π(r1^2-r2^2)
=>22/7(14×14-21/2×21/2)
=>22/7×343/4
=>269.5cm
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