Question

. From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet.( Take
π
=
22
7
)

Answer 1

Answer:

$536cm^{2}$

Step-by-step explanation:

Area of Sheet remaining = Area Of circular sheet - [{2*(Area of Circle)} + (Area of rectangle)]

Area Of Circular sheet = $\pi R^{2} = \frac{22}{7} * 14 * 14$ = $616 cm^{2}$

Area of Circle = $\pi r^{2} = \frac{22}{7} * 3.5 * 3.5 = 38.5cm^{2}$

Area of Rectangle = $l*b = 1*3 = 3cm^{2}$

Area of Remaining Sheet = 616 - [{2*(38.5)} + 3]

                                          = 616 - [77+3]

                                          = 616 - 80

Area of Remaining Sheet = $536 cm^{2}$