Dan brought 36 vanilla cupcakes and 49 chocolate cupcakes to his school bake sale. Then his friend brought 5 more cupcakes. How
2 answers:
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Y=3x-4
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon =
Therefore, angle at the center of a dodecagon = = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle =
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle =
=
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
