Question

The circumference of a circle is 31.4 yards. What is the circle's diameter? C=31.4 yd Use 3.14 for ​.

Answer 1

Explanation:

c= 31.4

c= πD

D= C/π

D= 31.4/3.14 = 10 yards

Answer 2

Answer:-

`\longrightarrow` 10 yards

Given :-

`\red{\leadsto}\:`
`\textsf{Circumference \:of \:the \:circle}`
`\sf= 31.4 \:yards`

Solution:-

`\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}`

• r is radius of circle

`\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 2* 3.14 * r= 31.4 \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 6.28 * r= 31.4 \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf r= (31.4)/(6.28) \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered}`

`\green{ \underline { \boxed{ \sf{Diameter = 2 * radius }}}}`

`\begin{gathered}\\\implies\quad \sf Diameter = 2* 5\\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered}`