Question

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

Answer 1

Answer:

The diameter of circle is 141 feet.

Step-by-step explanation:

Solution :

Firstly, finding the radius of circle by substituting the values in the formula :

$\longrightarrow \sf{Circumference_{(Circle)} = 2\pi r}$

$\longrightarrow \sf{443 \: feet = 2\pi r}$

$\longrightarrow \sf{443 = 2 \times 3.14 \times r}$

$\longrightarrow \sf{443 = 6.28\times r}$

$\longrightarrow \sf{r = 443 \div 6.28}$

$\longrightarrow \sf{r = \dfrac{443}{6.28}}$

$\longrightarrow \sf{r = \dfrac{443}{6.28}}$

$\longrightarrow \sf{r \approx 70.54 \: ft}$

Hence, the radius of circle is 70.54 feet.

$\rule{200}2$

Now, calculating the diameter of circle by substituting the values in the formula :

$\longrightarrow{\sf{Diameter_{(Circle)} = 2 \times radius}}$

$\longrightarrow{\sf{Diameter_{(Circle)} = 2 \times 70.54}}$

$\longrightarrow{\sf{Diameter_{(Circle)} = 141 \: ft}}$

Hence, the diameter of circle is 141 feet.

$\rule{300}{2.5}$

Answer 2

Answer:

$\huge\boxed{\sf d = 141\ feet}$

Step-by-step explanation:

Given Data:

Circumference = C = 443 ft

Required:

Diameter = d = ?

Formula:

d = C / π

Solution:

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

$\rule[225]{225}{2}$

Hope this helped!

~AH1807