Question

A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

Answer 1

Answer:

⇒ 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

Answer 2

Answer:

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