Question

two circular pieces of equal radio and maximum area touching each other are cut out from rectangular carboard of dimension 14cm×7cm find the area of remaining cardboard

Answer 1

area of card bord - area of circle

Answer 2

Total area of cardboard
$= 14 \times 7 = 98 {cm}^{2}$
Diameter of circle = 7 cm
Radius of circle
$= \frac{7}{2} cm$
Area of 1 circle
$= \pi {r}^{2} \\ = \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \\ = \frac{77}{2} {cm}^{2}$
Area of 2 circles
$= 2 \times \frac{77}{2} = 77 {cm}^{2}$
Area of remaining cardboard
= Area of (total cardboard - 2 circles)
$= 98 - 77 \\ = 21 {cm}^{2}$
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