What is 23/46 reduced
2 answers:
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Answer:
Step-by-step explanation:
<u>Formula for circumference of a circle is</u>:
Circumference =
<em>Given circumference of the ring is </em>
<em>Now solving for the radius gives us:</em>
We know that area of a circle is , substituting the value of r we found, we get the area as:
area (A) =
Hence the Area (A), in terms of is
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.
