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Semenov [28]
3 years ago
5

The circumference of a circle is 47 in. Find its diameter, in inches.

Mathematics
2 answers:
melomori [17]3 years ago
8 0

Answer:

D=14.96 inch

Step-by-step explanation:

Given :

Circumference of a circle is 47

C=2πr

47=2πr

47=6.28r

r=\frac{47}{6.28} \\r=7.484 in.\\D=2r\\D=2(7.48)\\D=14.96 in.

Therefore, diameter of the circle is 14.96 inch

Andru [333]3 years ago
4 0

{ \bf{ \underbrace{Given :}}}

Circumference of the circle = 47 inch.

{ \bf{ \underbrace{To\:find:}}}

The diameter of the circle.

{ \bf{ \underbrace{Solution :}}}

\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}

\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}

We know that,

\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }

\longrightarrow{\blue{}} 47 in = 2 π r

\longrightarrow{\blue{}} r = \frac{47 \times 7}{2 \times 22} in

\longrightarrow{\blue{}} r = \frac{329}{44} in

\longrightarrow{\blue{}} r = 7.477 in

Now,

\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }

= 2 x 7.477 in

= 14.954 in

= 15 in ( round to nearest whole number )

Therefore, the diameter of the circle is 15 inch.

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}

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