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bogdanovich [222]
3 years ago
6

The diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of t

he semi circle BD is an arc of a circle with the centre A. Find the area of the shaded region giving your answer in terms of pie. you must show your working, clearly stating the area of the semi circle.
I got 1 out of 4 Marks for pie/8 which equalled the shaded region over the area of the square but I have no clue for the area of the semi circle​

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

Area of Shaded Region =50\pi$ cm^2

Area of Semicircle =50\pi$ cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}}=\dfrac{ \pi}{8}

Step-by-step explanation:

Area of Shaded Region = Area of Sector - Area of Semicircle

<u>Area of Sector</u>

Radius of the sector =20cm

=\frac{90}{360}X\pi *20^2\\ =100\pi cm^2

<u>Area of Semicircle</u>

Since AB is the diameter of the semicircle

Radius of the Semicircle=20/2=10cm

Area of semicircle

=\frac{\pi r^2}{2}\\ =\frac{\pi *10^2}{2}\\=50\pi cm^2

Therefore, area of Shaded Region

=100\pi -50 \pi\\=50\pi$ cm^2

Area of Square =20 X 20 =400 cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}} \\=\dfrac{50 \pi}{400} \\=\dfrac{ \pi}{8}

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Answer:

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Step-by-step explanation:

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36 creates of apples. each creat has 25 kgs of apples. they sell 486,235 games of apples. how many grams are left?
valentinak56 [21]

The grams of apples left is 413765 grams

<h3>How to determine the value</h3>

From the information given, we have that:

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  • Each contains 25 kilograms of apples
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If we have 36 crates, let's determine the the total grams of apples

1 crate = 25 kilograms = 25000 grams

36 crates = x

x = 25000 × 36

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The total grams of apple is  900000 grams

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Thus, the grams of apples left is 413765 grams

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brainly.com/question/1781657

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