Question

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. (Use $(\pi=\frac{22}{7})$).

Answer 1

Answer:

The Area of the remaining cardboard is  21 cm² .

Step-by-step explanation:

Given:

Length of a rectangle(l) = 14 cm

Breadth of a rectangle(b) = 7 cm

Diameter of 1 circle = 7cm

Radius of 1 circle(r) = 7/2 cm

Area of the remaining cardboard = Area of rectangular cardboard - 2 × Area of circle

Area of the remaining cardboard = l × b - 2 (πr²)

Area of the remaining cardboard = (14× 7) - 2 × (22/7) × (7/2)²

Area of the remaining cardboard = 98 - (44/7)(49/4)

= 98 - 77

= 21  cm²

Area of the remaining cardboard  = 21 cm²

Hence, the Area of the remaining cardboard is  21 cm² .

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Answer 2

Answer: 21 cmsquare

Step-by-step explanation: