Calculate the area shaded
1 answer:
Answer:
7.722 cm^2
Step-by-step explanation:
Step 1: Find the area of the square.
- Area of square = s^2, where s = side
- 6^2 = 36 cm^2
Step 2: Find the area of the circle.
- We are given the diameter of the circle as 6 cm, so the radius must be 3 cm.
- Area of circle is
, so now we plug in and simplify.
Step 3: Subtract area of circle from area of square.
Therefore, the area of the shaded region is 7.722 cm^2.
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Given:
The red figure dilated with a scale factor of and the center of dilation is at the point (4,2) to get the green figure.
To find:
The coordinates of C' and A.
Solution:
If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
In given problem, the scale factor is and the center of dilation is at (4,2).
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Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).