Question

if circumference of a circle is 176 cm, find its radius.





plz find ANSWER​

Answer 1

this is the correct answer plzz mark as brainliest

Answer 2

Answer:

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Given:}}}}}}}\end{gathered}$

• ● The circumference of a circle is 176 cm

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{To Find:}}}}}}}\end{gathered}$

• ● Radius

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Formula Used :}}}}}}}\end{gathered}$

$\dag{\underline{\boxed{\sf{Circumference \: of \: Circle =2{\pi}r}}}}$

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Solution:}}}}}}}\end{gathered}$

$\bigstar{\underline{\frak{Let \: the}}}$

$\begin{gathered} \\ \end{gathered}$

• Radius of circle be "x" cm

$\begin{gathered} \\ \end{gathered}$

$\bigstar{\underline{\frak{According \: To \: The \: Question}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{Circumference \: of \: Circle =2{\pi}r}}}$

$\begin{gathered} \\ \end{gathered}$

• Substituting the values

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{2 \times {\dfrac{22}{7}} \times x}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{\dfrac{44}{7}} \times x}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 \times {\dfrac{7}{44}}= \bf{x}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{\cancel{176} \times {\dfrac{7}{\cancel{44}}}= \bf{x}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{4 \times7}= \bf{x}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{x}= \bf{28}}}$

$\begin{gathered} \\ \end{gathered}$

$\dag{\underline{\boxed{\rm{\pink{Radius = 28}}}}}$

• ● Henceforth,The Radius of Circle is 28 cm.

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Verification:}}}}}}}\end{gathered}$

$\bigstar{\underline{\frak{Checking \: our \: answer}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{Circumference \: of \: Circle =2{\pi}r}}}$

$\begin{gathered} \\ \end{gathered}$

• Substituting the values

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{2 \times {\dfrac{22}{7}} \times 28}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{2 \times {\dfrac{22}{7}} \times 28}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{2 \times {\dfrac{22}{\cancel{7}}} \times \cancel{28}}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{2 \times 22\times 4}}}}$

$\begin{gathered} \\ \end{gathered}$

$\quad{: \implies{\sf{176 = \bf{176}}}}$

$\begin{gathered} \\ \end{gathered}$

$\dag{\underline{\boxed{\rm{\pink{LHS=RHS }}}}}$

• ● Hence Verified ꪜ

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Diagram:}}}}}}}\end{gathered}$

$\bigstar{\underline{\frak{Diagram \: of \: Circle}}}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 28\ cm}\end{picture}$

• Request: Please see the answer from website Brainly.in..
• Check the given attachment also

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\purple{Learn \: More:}}}}}}}\end{gathered}$

$\begin{gathered}\begin{gathered} \small\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c}   \star\bf \underline{More \:  Useful  \: Formula } \star \\  \\ \ \leadsto\sf{Radius \: of \: Sphere = \dfrac{d}{2} } \\ \\ \leadsto\textsf{ Voume of cylinder = πr²h} \\  \\ \leadsto \textsf{ T.S.A of cylinder = 2πrh + 2πr²} \\ \\  \leadsto\textsf{ Volume of cone = ⅓ πr²h} \\  \\  \leadsto \textsf{C.S.A of cone = πrl }\\ \\   \leadsto\textsf{ T.S.A of cone = πrl + πr²} \\   \\  \leadsto\sf{ Volume\: of\: cuboid = l  \times b  \times  h} \\   \\ \leadsto\textsf{C.S.A of cuboid = 2(l + b)h }\\  \\   \leadsto\textsf{T.S.A of cuboid = 2(lb + bh + lh)} \\  \\ \leadsto \textsf{ C.S.A of cube = 4a² }\\ \\   \leadsto\textsf{T.S.A of cube = 6a²} \\ \\  \leadsto\textsf{Volume of cube = a³}  \\ \\  \leadsto\textsf{ Volume of sphere = (4/3)πr³ }  \\  \\  \leadsto\textsf{Surface area of sphere = 4πr²} \\  \\  \leadsto\textsf{Volume of hemisphere = ⅔ πr³} \\  \\  \leadsto\textsf{ C.S.A of hemisphere = 2πr² }\\ \\   \leadsto\textsf{ T.S.A of hemisphere = 3πr² } \\  \\ { \qquad \qquad \qquad}{}\end{array}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}$