Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had
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Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
The circles B and D are similar since the radius of the former is as twice as the radius of the latter.
<h3>Are the two circles shown in the figure similar?</h3>
By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are and
. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.
To learn more on similarity: brainly.com/question/12670209
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