Question

From a circular card sheet of radius 14 cm two circles of radius 3.5cm and a rectangle of length 3cm and breadth 1cm are removed.find area of remaining sheet
take pie as 22\7

Answer 1

Step-by-step explanation:

Radius of circular sheet(R)=14cm and Radius of smaller circle(r)=3.5cm

Length of rectangle(l)=3cm and breadth of rectangle(b)=1cm

According to question,

Area of remaining sheet=Area of circular sheet−[Area of two smaller circle+Area of rectangle]

=πR

2

−[2(πr

2

)+(l×b)]

=

7

22

×14×14−[(2×

7

22

×3.5×3.5)−(3×1)]

=22×14×2−[44×0.5×3.5+3]

=616−80

=536cm

2

Therefore the area of remaining sheet is 536cm

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