Question

From a circular card sheet of radius 28 cm , two circles of radii 7 cm and a rectangle of length 3 cm and breadth 2 cm removed. Find the area of the remaining sheet

Answer 1

Here is your answer

Circular card sheet Radius = 28 cm

Area of Circular card sheet= πr^2
$= \frac{22}{7} \times (28) {}^{2} \\ = 22 \times 28 \times 4 \\ = 2464 \: cm {}^{2}$

Now
Two Circle of Radius 7 cm is removed

Area of Two Circle =2( πr^2)
$= 2 \times \frac{22}{7} \times 7 {}^{2} \\ = 2 \times 22 \times 7 \\ = 308 \: cm {}^{2}$
Now
Rectangle is removed from sheet

Length of rectangle = 3 cm

Breadth of rectangle = 2cm

Area of Rectangle = Length × Breadth
$= 3 \times 2 \\ = 6 \: cm {}^{2}$
Hence
Area of the remaining Circular sheet is = Area of Circular sheet - Area of two Circle - Area of Rectangle
$= 2464 - 308 - 6 \\ = 2464 - 314 \\ = 2150 \: cm {}^{2}$
Therefore Area of the remaining Circular sheet is 2150 sq.cm

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