Question

The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.

What is the value of z?

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

Answer 1

Answer: The correct answer is 2.3

Step-by-step explanation: Answer confirmed correct on test so no worries

Answer 2

Explanation:

The diameter of the circle is twice the length of the radius, so we can write:

2r = d

where r is the radius and d is the diameter.

Substituting the given diameter of 11 4/5 ft, we get:

2r = 11 4/5 ft

To find the length of the radius, we can divide both sides by 2:

r = (11 4/5) / 2

r = 5 9/10 ft

We also know that the length of the radius is z + 3.6, so we can set up the equation:

z + 3.6 = 5 9/10

Subtracting 3.6 from both sides, we get:

z = 5 9/10 - 3.6

z = 2 3/10

Therefore, the value of z is 2 3/10 or 2.3 as a decimal.