Respuesta :
Answer:
26π
Step-by-step explanation:
Hmm... This one is a little hard to understand because of the LaTeX.
Any way, way back to the question. A useful piece of information:
The formula for finding the circumference of a circle is 2πr or π · d :
We first need to find out what x is.
Since 2 times the radius is the diameter, we can set up our equation like this:
2(x + 6) = 3x + 5
Solving gives:
2x + 12 = 3x + 5.
We subtract 2x from both sides:
+12 = x + 5
Subtract 5:
So x = 7.
Now we can plug-and-chug:
7 + 6 = 13 times 2pi (this is the radius)
21 + 5 = 26 times pi.
Check:
When we check 13 (radius) times 2 should equal the diameter(26)
13 * 2 = 26.
So we are correct. The answer 26π is correct.
The circumference of the circle is 26π units if the radius of a circle is x+6 and its diameter is 3x+5.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The radius of the circle = x + 6
The diameter of the circle = 3x + 5
As we know,
Diameter = 2(radius)
3x + 5 = 2(x + 6)
3x + 5 = 2x + 12
3x - 2x = 12 - 5
x = 7
The radius of the circle = x + 6 = 7 + 6 = 13 units
The circumference of the circle = 2πr
r is the radius of the circle r = 13 units
The circumference of the circle = 2π(13)
The circumference of the circle = 26π units
Thus, the circumference of the circle is 26π units if the radius of a circle is x+6 and its diameter is 3x+5.
Learn more about circle here:
brainly.com/question/11833983
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