Question

the circumference of a circle is 16pi centimeters. What is the diameter

Answer 1

Answer:

16cm

Step-by-step explanation:

C=2πr=16π

implies 2r=16

as diameter is 2r cm

diameter is 16cm

Answer 2

Given :

• Circumference of a circle is 16π

To find :

• the diameter

Solution :

As we know,

$\large \star{ \red{ \boxed{ \green{\sf{circumference \: of \: a \: circle = 2 \pi r}}}}} \star$

$\\ \tt \implies16 \pi = 2 \pi r$

$\\ \tt \implies \: r = \cancel \frac{16 \pi}{2 \pi}$

$\\ \tt \implies \: r = 8$

Therefore, Radius of the circle is 8cm

Now,

$\large \star{ \color{cyan}{ \boxed{ \color{gold}{ \sf{diameter \: of \: a \: circle = 2 \times radius}}}}} \star$

$\\ \tt \to2 \times 8$

$\\ \tt \to16$

Therefore, the diameter of the circle is 16cm.