When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.
We know that the order of rotation for a square is 4.
Hence, we have ![\frac{360}{4} =90^{\circ}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B4%7D%20%3D90%5E%7B%5Ccirc%7D)
Thus, the angle of rotational symmetry of square are
![90^{\circ}, 180^{\circ}, 270^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D%2C%20180%5E%7B%5Ccirc%7D%2C%20270%5E%7B%5Ccirc%7D)
Hence, the minimum angle of rotational symmetry is ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.
Given:
Irregular Shape:
Semi-circle and rectangle:
Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2
Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.
Total area = 40 cm² + 25.12 cm² = 65.12 cm²
Answer:
Hence option C is correct...hope this helps you:)
Answer:
equation of circle is (x+5)^2+(y-3)^2=16
Step-by-step explanation:
equation of circle
is centre of circle
centre of circle=(-5,3)
put the value of centre and redius in the equation
equation of circle
=4^2
Answer:
We conclude the equation is linear because it can be rewritten in the form
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
![18x + 9y = -416](https://tex.z-dn.net/?f=18x%20%2B%209y%20%3D%20-416)
subtract 18x from both sides
![18x+9y-18x = - 18x-416](https://tex.z-dn.net/?f=18x%2B9y-18x%20%3D%20-%2018x-416)
simplify
![9y = -18x - 416](https://tex.z-dn.net/?f=9y%20%3D%20-18x%20-%20416)
divide both sides by 9
![y=-2x-\frac{416}{9}](https://tex.z-dn.net/?f=y%3D-2x-%5Cfrac%7B416%7D%7B9%7D)
Now, comparing the equation
with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form
.
From the attached graph, is also clear that the graph of the equation
is a straight line.
Hence, option D is correct.