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Activity Discussion Math Area problem

• # Area problem

Posted by on June 22, 2023 at 8:19 pm

A square shaped playground has a circular swimming pool inside. If side of the playground is 300m and radius of the swimming pool is 10m, what is the area of rest of the ground

• ### Divya Sanka

Member
June 22, 2023 at 10:38 pm
1

Area is nothing but the region bounded by the shape of an object.Area is the two dimensional quantity.Different shapes have different areas and it has units square units(square metres,square centimetres etc)

In the above given problem,

length of square shaped playground(s)=300m

area of the rest of the playground= area of the total play ground-area of the circular swimming pool

so,

area of the total square playground=s*s (area of square=side square)

=300*300 m^2

=9*10^4 m^2

Area of circular swimming pool=pi*r*r (area of circle=pi*r^2)

=(22/7)*10*10 m^2

=314.28 m^2

area of remaining playground=area of square playground-area of circular swimming pool

=90000m^2-314.28 m^2

=89,685.71 m^2

Hence area of remaining playground is 89,685.71 m^2