Math, asked by aananya2019, 21 hours ago

ABCD is a field in the shape of a trapezium AB ∥ DC and ∠ABC = 90°, ∠DAB = 60°. Four sectors are formed with centers A, B, C, and D. The radius of each sector is 17.5 m. Find the area of the remaining portion, given that AB= 75m and CD= 50m.

Answers

Answered by Ayesha2409
1

Answer:

2162.5m^2

Step-by-step explanation:

area if sector I=60/360π^2

" " " ll=90/360π^2

III = 90/360π^2

IV =120/360π^2

total area=60+90+90+120/360π^2

=962.5m^2

area of field ABCD=1/2hx(a+b)

1/2x50x125

25x125

3125m^2

area of remaining portion

3125-962.5

=2162.5 m ^2

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