Equations - Item 2829
1 answer:
The formula is used to find the diameter of circle is:
The diameter of circle is 5.1 cm
<em><u>Solution:</u></em>
Given that,
Circumference (C) of a circle is 16 cm
<em><u>The formula for circumference of circle when diameter is given is:</u></em>
<em><u>Rearrange the formula to get "d"</u></em>
Divide both sides by 3.14
The above formula is used to find the diameter of circle
Given that, circumeference = C = 16 cm
Substituting we get,
Thus diameter of circle is 5.1 cm
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<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>
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Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6