The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
1 answer:
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Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:
Since:
It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:
So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;
Now you can draw it (The image is attached).
