Question

If the circumference of a circle is 82π , then the value of ‘r’ is

Answer 1

Hence, circumference of circle = 2πr. So the value of ‘r’ if circumference of a circle is 82π is,

$= > 82 \: \pi = 2 \: \pi \: r \\ \\ = > 82 = \frac{2 \: \pi \: r}{\pi} \\ \\ = > 82 = \frac{2 \: \cancel{\pi} \: r}{ \cancel{\pi}} \\ \\ = > 82 = 2r \\ \\ = > r = \frac{ {\cancel{(82}})^{41} }{ \cancel{(2})^{1} } = 41 \\ \\ = > \green{ \boxed{r = 41}}$

∴ The value of ‘r’ is 41.

Answer 2

$\sf{Answer}$

Step-by-step-explanation:-

Given :-

Circumference of circle is 82Π

To find :-

Radius of circle

Formula:-

Circumference of circle = 2Πr

Solution :-

We know

Circumference of circle = 2Πr

ATQ Circumference of circle is 82Π

So,

2Πr = 82Π

2r = 82

r = $\sf\dfrac{82}{2}$

r = 41 units

So, radius of circle is 41units