Question

From a circular card of radius 16cm, two circles of radius 4.cm and a rectangle of length 4cm

and breadth 1 cm are removed(as shown in the adjoining figure). Find the area of the

remaining sheet?​

Answer 1

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

2

.