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Please help at the image and answer

Please help at the image and answer-example-1
User Glenster
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1 Answer

2 votes

Explanation:

the figure is a combination of

1 half-circle with radius 30/2 = 15

1 inner rectangle 13 width, (13+20)= 33 length.

2 right-angled triangles with 20 being one leg, and (30-13)/2 = 17/2 = 8.5 the other leg.

the area of the half-circle is

pi×r²/2 = pi×15²/2 = pi×112.5 = 353.4291735...

the area of the inner rectangle is

13×33 = 429

the area of one triangle (because they are right-angled, their area is leg1 × leg2 / 2)

20 × 8.5 / 2

but we have 2 triangles, and their total area is then

20 × 8.5 = 170

in total the area of the combined figure is the sum of all 3 numbers :

952.4291735...

this should be the cut-off 3rd answer option 952.4.

User Mamykin Andrey
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