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The length of a radius of a circle, measured in centimeters, is represented by the expression x + 1.5. The diameter of the circle is 9 2/5 cm.

What is the value of x?

Enter your answer as a decimal or mixed number in simplest form in the box.

x =

Respuesta :

linandrew41

Answer:

Step-by-step explanation:

Lets convert 9 and 2/5 into decimal form

9 and 2/5 is also 47/5

47/5 = 9.4 which is the diameter in decimals

We know the radius is half of the diameter so the radius is 4.7.

Since the radius is represented by the equation: [tex]x+1.5[/tex]

We set  [tex]x+1.5[/tex] equal to 4.7, to get

[tex]x+1.5 = 4.7[/tex]

[tex]x=3.2[/tex]

So the value of x is 3.2

Hope that helps!

For any circle, its radius is of half length of its diameter. The value of x for the given circle is obtained as: x = 7.9

How are diameter of a circle and radius of a circle related?

Radius is the line segment joining the center of the circle to the circumference of that circle.

Diameter is the line segment slicing the circle in equal parts.

Diameter is double length of radius for same circle.

Thus, radius of a circle is of half length of its diameter.

For the given case, for the considered circle, we are given:

Length of radius of the circle = [tex]x + 1.5[/tex] cm

Length of diameter of the circle = [tex]9\dfrac{2}{5} = 9 + \dfrac{2}{5} = 9 + 0.4 = 9.4 \: \rm cm[/tex]

As we have: Radius = Diameter/2

Thus,

[tex]x + 1.5 = \dfrac{9.4}{2}\\\\x + 1.5 = 2.7\\\\\text{Subtracting 1.5 from both the sides}\\\\x + 1.5 - 1.5 = 9.4 - 1.5\\x + 0 = 7.9\\x = 7.9[/tex]

Thus, the value of x for the given circle is obtained as:  x = 7.9

Learn more about radius here:

https://brainly.com/question/13004063

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