(02.03)The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-ax
is and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1, and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A’B’C’? A translation 5 units up followed by a 180-degree counterclockwise rotation about the origin A translation 5 units up followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin followed by a translation 5 units to the left A 270-degree counterclockwise rotation about the origin followed by a translation 5 units to the left
2 answers:
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Answer:
Area of the shaded region = 1.72r²
Step-by-step explanation:
Radius of the circle = r
Length of the rectangle = 4r
Width of the rectangle = 2r
Area of the circle = πr²
Area of the rectangle = Length × Width
= 4r × 2r
= 8r²
Area of the shaded region = Area of the rectangle - 2 × Area of the circle
= 8r² - 2 × πr²
= 8r² - 2πr²
= r²(8 - 2π)
= r²(8 - 2 × 3.14)
= r²(8 - 6.28)
= 1.72r²