Question

The radii of two concentric circles are 4cm and 3cm . Find the area between these two circles

Answer 1

${\huge{\underline{\green{\sf{Answer}}}}}$

${\underline{\orange{\rm{GiveN:}}}}$

• The radii of two concentric circles are 4cm and 3cm

${\underline{\orange{\rm{FinD:}}}}$

• The area between the two circles

${\underline{\orange{\rm{SolutioN:}}}}$

Here, as we know that area of Outer circle - Area of Inner Circle = Area between the two circles .

${\underline{\pink{\rm{Area\:of\:Outer\:Circle:}}}}$

$\implies\pi×{radius}^{2}$

$\implies\dfrac {22}{7}×{4}^{2}$

$\implies\dfrac {22}{7}×16$

$\implies\dfrac {352}{7}$

$\implies$ 50. 28cm square

${\underline{\pink{\rm{Area\:of\:Inner\:Circle:}}}}$

$\implies\pi×{radius}^{2}$

$\implies\dfrac {22}{7}×{3}^{2}$

$\implies\dfrac {22}{7}×9$

$\implies\dfrac {198}{7}$

$\implies$ 28. 28cm square

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•Area between the circles

= Outer Area - Inner Area

= 50.28 - 28.28

= 22 cm square

Thus, 22 cm square is the area between the two circles.

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