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2 years ago

A circle is drawn inside a square.

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

5 0

Shaded area = 21.46

Step-by-step explanation:

First find area of square,

Area = length × width

A = 20 × 20

A = 400 cm^2

Secondly, find area of circle

Area of circle = (π)r^2

A = (π)10^2

A = 100 π

Thirdly, find the area outside of the circle

Area of square - Area of circle

400cm^2 - 100π

= 85.84

lastly divide the answer by 4 to find the shaded area

85.84 ÷ 4

= 21.46

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ cross multiply

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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Answer:B

Step-by-step explanation:

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3 years ago

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Bess [88]

It's forming a circle so we know that together it's going to add up to 360. #1 is 66 because angle A trough E is straight and we have 90 on angle ACF and it's vertical to angle FCG. #2 is 125 because angle ACB is 24 because it's vertical to angle GCE. #3 is 114 because 90 and 24 is 114. #4 is 156 because 66 and 90 equal 156.
1. FCG = 66
2. BCD = 125
3. FCB = 114
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Step-by-step explanation:

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