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Marrrta [24]
3 years ago
15

Find the midpoint of diagonal WY.. . Figure WXYZ is shown. W is at 0, 2. X is at 0, 6. Y is at 6, 6. Z is at 6, 2.. . (2, 4). .

(2.5, 3.5). . (3, 3.5). . (3, 4)
Mathematics
2 answers:
Kamila [148]3 years ago
8 0
The diagonal WY is formed by connecting W and Y. The coordinates of its midpoint are the average of coordinates of the endpoints. Below are the calculations.
                 abscissa : (0 + 6) / 2 = 3
                 ordinate:   (2 + 6) / 2 = 4
Thus, the midpoint is ate (3, 4).
Anestetic [448]3 years ago
3 0

Answer:

(3,4)

Step-by-step explanation:

we know that

The formula to calculate the coordinates of the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have that

The coordinates of diagonal WY are

W(0,2), Y(6,6)

substitute in the formula to calculate the midpoint

M(\frac{0+6}{2},\frac{2+6}{2})

M(\frac{6}{2},\frac{8}{2})

M(3,4)

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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
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Answer:

42.43  cm^{2}

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571\   cm^{2}\\

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u />Area\ of\ square=(Side)^{2}

                         =11\times11=121\ cm^{2}

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

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