What's the area of a circle with a radius of 5?
2 answers:
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The coordinates of the original point <em>x</em>, can be obtained by reversing the given transformations individually
The coordinates of the original point <em>x</em> is
Reason:
The type of reflection = Glide reflection
Coordinates of the image of the point <em>x</em> = x'(3, -2)
The translation part of the glide reflection is (x, y) → (x + 3, y)
The line of reflection is y = -1
The coordinates of the original point = Required
Solution:
- A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection
Reflection part;
The distance of the image point from the reflecting line = The object's
point distance from the reflecting line
Therefore, given that the reflecting line is the line y = -1, and the image
point is x'(3, -2), we have;
Distance of image from reflecting line =-1 - (-2) = 1
∴ Distance of object point from reflecting line = 1
y-coordinate of object point = -1 + 1 = 0
Point of image of the object before reflection and after translation = (3, 0)
Translation part;
The translation of the glide reflection is (x, y) → (x + 3, y)
Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;
((3) - 3, 0) → (0, 0)
The coordinates of the original point <em>x</em> is
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Answer:
Step-by-step explanation:
The radius of the circle is 7 cm.
The two legs of the triangles are 7cm as well.
Area of a trinagle is ( base × height )/2.
Multiply the value by 2 since there are two triangles.
Calculate the area of the circle.
The radius is given.
Take as
Subtract the area of the two triangles from the area of the whole circle.
The area of the shaded part is 105 cm². The total area of the shape is 154cm².