Math, asked by aisha670621, 5 months ago

the circonference of a circle is 88cm. find the area of the circle

Answers

Answered by SarcasticL0ve
1

Given :

  • Circumference of Circle = 88 cm

⠀⠀⠀⠀⠀⠀⠀

To find :

  • Area of Circle?

⠀⠀⠀⠀⠀⠀⠀

Solution :

☯ Let radius of Circle be r cm.

⠀⠀⠀⠀⠀⠀⠀

We know that,

⠀⠀⠀⠀⠀⠀⠀

\star\;{\boxed{\sf{\purple{Circumference_{\;(circle)} = 2 \pi r}}}}\\ \\

Putting values,

⠀⠀⠀⠀⠀⠀⠀

:\implies\sf 2 \times \dfrac{22}{7} \times r = 88\\ \\

:\implies\sf \dfrac{44}{7} \times r = 88\\ \\

:\implies\sf r = \cancel{88} \times \dfrac{7}{ \cancel{44}}\\ \\

:\implies\sf r = 2 \times 7\\ \\

:\implies{\boxed{\sf{\pink{r = 14\;cm}}}}\;\bigstar\\ \\

\therefore\;{\underline{\sf{Radius\;of\;circle\;is\; \bf{14\;cm}.}}}

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

\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 14\ cm}\end{picture}

⠀⠀

Now, Finding area of Circle,

⠀⠀⠀⠀⠀⠀⠀

\star\;{\boxed{\sf{\purple{Area_{\;(circle)} = \pi r^2}}}}\\ \\

:\implies\sf \dfrac{22}{ \cancel{7}} \times \cancel{14} \times 14\\ \\

:\implies{\boxed{\sf{\pink{616\;cm^2}}}}\;\bigstar\\ \\

\therefore\;{\underline{\sf{Hence,\;Area\;of\;circle\;is\; \bf{616\;cm^2}.}}}

Answered by BrainlyHero420
31

Answer:

Correct Question :-

  • The circumference of a circle is 88 cm. Find the area of the circle.

Given:-

  • The circumference of a circle is 88 cm.

To Find :-

  • What is the area of the circle.

Formula Used :-

\boxed{\bold{\small{Circumference\: of\: a\: circle\: =\: 2πr}}}

\boxed{\bold{\small{Area\: of\: a\: circle\: =\: πr²}}}

Solution :-

» The circumference of a circle is 88 cm.

Circumference of a circle = 2πr

⇒ 88 = 2 × \dfrac{22}{7} × r

\dfrac{44}{7} × r = 88

⇒ r = \dfrac{7}{44} × 88

➙ r = 14 cm

Hence, area of a circle = πr²

\dfrac{22}{7} × (14)²

\dfrac{22}{7} × 14 × 14

⇒ 22 × 2 × 14

616 cm²

\therefore The area of a circle is \large\purple{\underline{\boxed{\textbf{616\: cm²}}}}

_______________________________

Similar questions