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
Answer:
Step-by-step explanation:
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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