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zavuch27 [327]
3 years ago
10

A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to

the nearest tenth.

Mathematics
2 answers:
NeX [460]3 years ago
5 0

Answer:

144

Step-by-step explanation:

Readme [11.4K]3 years ago
4 0

Answer:

370.2

Step-by-step explanation:

We need to find the area of the square, and the area of the 4 semi circles and add them up.

The area of a square is given by the formula A = S², where the sides are 12. therefore:

12² = 144

4 semi circles are equivalent to 2 full circles. In order to find the area of the two circles, you can use the formula:

A = πr²   ⇒  where r is 1/2 the diameter

A = π(6)² ⇒36π *2(because its two circles)

Area of the 2 full circles it 72π ≅ 226.19

Then the area of the figure: 144+226.19

370.19 ≅ 370.2

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Write the equation of a circle in standard form with center ( -2,4) and radius 6. Show your work.
grigory [225]

Answer:

( x + 2 )² + ( y - 4 )² = 36

Step-by-step explanation:

Standard equation of a circle - ( x - h )² + ( y - k )² = r²

where r = radius and center is at ( h , k )

The given center is ( -2 , 4 )

Thus h = -2 and k = 4

and the given radius is 6

Thus, r = 6

that being said, we plug in the given values into the standard equation

( x - ( - 2 )² + ( y - 4 )² = 6²

Finally we simplify

In - ( -2 ) the two negative signs cancel out and it turns into + 2

6² = 36

The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36

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NeTakaya
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