Answer:
A) <em>d</em> =
B) <em>d</em> = or 2.55 inches
C) r = 3 inches
Step-by-step explanation:
Given the formula for the circumference of a circle, C = πd, where <em>d </em>represents the diameter of a circle.
<h3>A. solve the formula for <em>d</em>.</h3>
In order to solve for <em>d, </em>divide<em> </em>both sides of the equation by π:
<em>d</em> = .
<h3 /><h3>B. The circumference of a circle is 8 inches. What is the diameter of the circle?</h3>
Given the circumference of the circle, C = 8 inches:
Use the formula for the diameter of the circle from part A of this post.
<em>d</em> =
<em>d</em> = or 2.55 inches.
<h3>C. The circumference of the circle is 6π inches. what is the radius of the circle.</h3>
Since the diameter of a circle is the same as twice the measure of the radius, <em>r: </em>d = 2 × <em>r</em>
Then, we can rewrite the formula for the circumference of a circle as:
C = 2π<em>r</em>
Divide both sides by 2π to isolate <em>r </em>:
r =
Given the circumference of a circle, <em>C</em> = 6π:
Therefore, the radius of the circle is 3 inches.