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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 2/5cm. What is the value of x? ​

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Answer:

The value of x is 3.2 cm.

Explanation:

We know that the diameter of the circle is 9 2/5 cm. We also know that the diameter of a circle is twice the length of its radius. Therefore, we can write:

2(radius) = diameter

2(x + 1.5) = 9 \ 2/5

Multiplying both sides by 5 to get rid of the fraction, we get:

2(x + 1.5) * 5 = 9 * 5 + 2

10(x + 1.5) = 47

Dividing both sides by 10, we get:

x + 1.5 = 4.7

Subtracting 1.5 from both sides, we get:

x = 4.7 - 1.5

x = 3.2

Therefore, the value of x is 3.2 cm.

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