In a rectangle of 24 m x 16 m, four sectors are drawn at its four vertices with radius 3-5 m. Find the area of the shaded part
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A rectangular piece is 20 m long and 15 m wide. Form its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
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Correct option is A)
⇒ Here, l=20m,b=15cm,r=3.5m and θ=90
o
⇒ Area of rectangle =l×b=(20×15)m
2
=300m
2
⇒ Area of a quadrant =
360
o
θ
×πr
2
⇒ Area of a quadrant =
360
o
90
o
×
7
22
×3.5×3.5
∴ Area of a quadrant =9.625m
2
⇒ Area of 4 quadrant =4×9.625=38.5m
2
⇒ Area of remaining part = Area of rectangle - Area of 4 quadrant
∴ Area of remaining part =(300−38.5)m
2
=261.5m
2
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