Question

The area of two concentric circles are 154 cm square and 616 cm square respectively. Find the width of the gap between the two circles shown by the shaded portion in the adjacent figure.

Answer 1

22/7×r×r=154

22/7×R×R=616

r×r=49

R×R=196

r=7

R=14

therefore width of pathshala =14-7

=7cm

Answer 2

The width of the gap between the two circles is 7 cm.

Step-by-step explanation:

Since we have given that

Area of inner of concentric circle = 154 cm sq.

Area of outer of concentric circle = 616 cm sq.

According to question, we get that

$\pi R^2=616\\\\R^2=\dfrac{616\times 7}{22}\\\\R^2=196\\\\R=14\ cm$

And similarly,

$\pi r^2=154\\\\r^2=\dfrac{154\times 7}{22}\\\\r^2=49\\\\r=7\ cm$

So, the width of the gap between the two circles would be

R-r= 14-7=7 cm

Hence, the width of the gap between the two circles is 7 cm.

# learn more:

The shaded area in the adjacent figure between the circumference of two concentric circles is 346.5 CM square the circumference of the inner circle is 88 CM calculate the radius of the outer circle

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