The radius of circle is 20 cm The radii (in centimeters) of three concentric circle drawn in such a manner that the whole area is divided into four equal parts ,are
10√33,10√23,103
10√3,10√2,10
20√2,20√3,10
17,14,10
A
20√2,20√3,10
B
10√33,10√23,103
C
17,14,10
D
10√3,10√2,10
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Solution
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Suppose the radii of three circles are r1,r2,r3, where r1<r2<r3, then πr21=14π(20)2;πr22=12π(20)2;πr23=34π(20)2 ⇒r21:r22:r23:=102:2×102:3×102 ⇒r1:r2:r3:=10:√2×10:√3×:10 ∴r3:r2:r1:=10√3:10√2:10
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