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

Sagot :

Petromussah522idn

Step-by-step explanation:

c= 31.4

c= πD

D= C/π

D= 31.4/3.14 = 10 yards

Answer:-

[tex]\longrightarrow[/tex] 10 yards

Given :-

[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]

Solution:-

[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]

  • r is radius of circle

[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]

[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]

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