Why is circle 1 similar to circle 2?
2 answers:
Answer:
Option A.
Step-by-step explanation:
we know that
The circle 1 and circle 2 have the same center
The ratio of its radius is equal to the scale factor
The scale factor is equal to
<em>That means</em>
The radius of circle 1 is 4 times the radius of circle 2
therefore
Circle 1 is a dilation of circle 2 with a scale factor of 4
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Answer:
4.3
Step-by-step explanation:
Apply trigonometric ratios to find the answer.
Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.
From angle theta, the trigonometric ratio sine can be used:
sinθ =
After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.
Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.
sin50.7 = opposite/hypotenuse
sin50.7 = CD/5.5
sin50.7 * 5.5 = CD
4.3 ≈ CD