Question

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

Answer 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,

⠀⠀⠀⠀⠀⠀⠀

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

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

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

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

Answer 2

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 $\large\purple{\underline{\boxed{\textbf{616\: cm²}}}}$

_______________________________