In the given figure, arcs have been drawn of radius 7cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.

In the given figure, arcs have been drawn of radius 7cm each with vertices A, B, C
and D of quadrilateral ABCD as centres. Find the area of the shaded region consisting of the four sectors at the four vertices

 

in a quadrilateral sum of the interior angles is 360 degrees

so A+B+C+D =360 DEGREES

radius =7 cm

 area of the sector = (theta /360)*pi* (r^2)

 

so sum of the areas of the sectors = ( (A+B+C+D) /360 )*pi *(r^2)

=(360/360)*(22/7)*7*7=84 square centimetre
 

 

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