Question

From a square sheet opposite corner in the form of quarter circles and a circle from the centre are cut off. If the radius of all circles are 3.5 cm and the side of the square is 14cm. Then, find the remaining area of the sheet after all the pieces are cut off.​

Answer 1

Answer:

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Answer 2

Given:

A square sheet of paper where opposite corners are cut into quarter circles.

Radius of quarter circle is 3.5cm and side of the sheet is 14cm.

Solution:

Number of corners in the square sheet

= 4

Therefore, number of quarter circles

= 4

Four quarter circles form a complete circle.

Therefore, only one circle is cut off.

Radius = 3.5cm

Area = π × (radius)²

= 22/7 × 3.5 × 3.5

= 38.5cm²

Side of square sheet = 14cm

Therefore, area = (side)²

= (14)²

= 196cm²

Remaining area of the sheet

= Area of sheet - Area of circle

= (196 - 38.5)cm²

= 157.5cm² (Ans)

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