Math, asked by anitash377, 10 months ago

33. A side of a red coloured square is 20 m. From the four corners sectors of radius
3 m each is cut out and a circle of radius 7 m is cut out from the centre of the
square. Find the area of the red coloured square left.

Answers

Answered by sahilanjamparuthi
2

Answer:

Step-by-step explanation:

Answered by bhagyashreechowdhury
0

The area of the red coloured square left is 217.72 m².

Step-by-step explanation:

it is given that,

The side of a red-coloured square = 20 m

The radius of a sector at the corner of the square = 3 m

The radius of a circle at the centre of the square = 7 m

Therefore,  we get

The area of the red-coloured square = side² = 20² = 400 m²

The area of 4 sectors from the corner of the square or the 4 quadrants is given by,

= 4 * [¼ πr²]

= π r²

=  22/7 × 3²  

= 28.28 m²

The area of the circle cut out from the centre of the red-coloured square is,

= πr²  

= 22/7 × 7²  

= 154 m²

Thus,  

The area of the red coloured square left is given by,

= [area of the red-coloured square] – [area of 4 quadrants] - [area of circle]

= 400 – 28.28 – 154

= 217.72 m²

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