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nirvana33 [79]
2 years ago
15

Two identical quarter circles are cut from a rectangle as shown.

Mathematics
1 answer:
Taya2010 [7]2 years ago
7 0
We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.

This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.

To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:

A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)



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mezya [45]

Answer:

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Step-by-step explanation:

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The general formula ,

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<u>Team 1</u>

Finding the mean ;

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Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

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Answer:

Answer:

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Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

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let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

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=

r

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form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

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