Answer: 18 inches
Step 1: Write equation
To find the radius, we will go through the formula for the circumference. Let’s write the example equation now.
C= 2πr
Step 2: Substitute numbers
Now we can write the full equation, using the information from the question. The r will be the only number to stay the same, as we ar s working to find the radius. Let’s substitute the C in the equation for 113.04 as given in the equation.
C= 2πr
113.04= 2πr
Step 3: Solve
For step 3, we can solve the equation. Let’s start by rewriting the equation.
113.04= 2πr
Now let’s multiply what is available on the right side. This would be 2 and pi. For the sake of the equation, pi will be rounded to 3.14.
113.04= 2πr
113.04= 2•3.14•r
113.04= 6.28r
Now let’s work to get r alone on the right side. We can do so by dividing each term by 6.28, on both the left and right side.
113.04= 6.28r
113.04/6.28= 6.28r/6.28
18= r
This is your answer! To be sure, let’s check our answer in the final step.
Step 4: Check
To ensure that we got the right answer, let’s rewrite the original formula, and solve it to see if the answer is the same on the left and right side.
C= 2πr
113.04= 2•3.14•18
113.04= 6.28•18
113.04= 113.04
Our answer is correct. 18 inches is the length of the radius. Hope this helps! Comment below for more questions.
