Respuesta :
Answer:
The student make an error in step 4.
Step-by-step explanation:
Given : A student solved for the radius of a circle with a circumference of 12π.
To find : In which step did the student make an error?
Solution :
Let us write each step to find the radius of a circle from its circumference
Step 1 - Circumference of circle,
[tex]C=2\pi r[/tex]
Step 2 - Substitute the given circumference,
[tex]12\pi= 2\pi r[/tex]
Step 3 - Divide both sides by 2π,
[tex]\frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }[/tex]
Step 4 - Solve
[tex]6=\pi r[/tex] , it is incorrect as π get cancelled
Correct step is [tex]6=r[/tex]
The radius of the circle is 6 cm.
Step 5 - [tex]\frac{6}{\pi }=\frac{\pi r}{\pi}[/tex]
Step 6 - [tex]\frac{6}{\pi }=r[/tex]
The student made a mistake in step 4 so step 5 and 6 is automatically invalid.
Therefore, the student make an error in step 4.
