Question

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

Answer 1

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

Answer 2

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

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.

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