Prove that the two circles shown below are similar.
1 answer:
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.
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Answer: option c.
Step-by-step explanation:
You need to remember the identity:
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "R":
You know that you need to find the measure of "R" and (which is the opposite side) and
(which is the adjacent side), you can sustitute values into
Then, you get: