Given:
The radii of circles are 14 cm and 7 cm.
To find:
The area of the shaded region.
Solution:
Area of a circle is
[tex]Area=\pi r^2[/tex]
From the given figure, it is clear that
Area of shaded region = Area of larger circle - Area of smaller circle
= [tex]\pi (14)^2-\pi (7)^2[/tex]
= [tex]\dfrac{22}{7}\times 14\times 14-\dfrac{22}{7}\times 7\times 7[/tex]
= [tex]616-154[/tex]
= [tex]462[/tex]
Therefore, the area of the shaded region is 462 sq. cm.
