Question 60

Two concentric circles with radii p cm and (p+ 2) cm are drawn on a paper. The difference between their areas is 44 sq. cm What is the value of p?(Take $$\pi=\frac{22}{7}$$)

Solution

Given $$\pi R^{2}-\pi r^{2}$$=44
$$R^{2}-r^{2}$$=14
R=p+2,r=p
R-r=2 R+r=2p+2
(R+r)(R-r)=14
2p+2=7
p=2.5


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