Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).

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.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

step-by-step explanation:

duck you