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AlekseyPX
4 years ago
11

Two semicircles are inscribed in a square with side 8 cm as shown. Find the area of the shaded region.

Mathematics
1 answer:
cestrela7 [59]4 years ago
7 0
Area of square = 8 * 8 = 64 sq cm

Circle inscribed would touch all sides, meaning the diameter is equal to the side length. Thus the radius would be half the width, or 4 cm.

Area of circle = \pi r^{2}
= \pi 4^{2}
= 3.14 * 16
= 50.24 sq cm

Then remove the circle area from the square area.

64 - 50.24 = 9.76 sq cm.

This is if that is how the image looks.
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When a shape is rotated, it must be rotated around a point.

<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em>90^o<em>.</em>

<em />

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C = (5,-1) --- the center of rotation

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First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

(x,y) \to (x - 5, y + 1)

Then the vertices are rotated by 90^o

<u />

<u>The rule of </u>90^o<u> rotation is:</u>

(x,y) \to (-y,x)

So, we have:

(x - 5,y + 1) \to (-y - 1,x - 5)

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

(0,2) \to (-2-1,0-5) \to (-3,-5)

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Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

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brainly.com/question/1571997

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