Question

the circumfrence of a circle is 88 cm. find its area​

Answer 1

Answer:

Given :-

• The circumference of a circle is 88 cm.

To Find :-

• What is the area of a circle.

Formula Used :-

$\clubsuit$ Circumference Of Circle Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Circumference_{(Circle)} =\: 2{\pi}r}}}\: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius

$\clubsuit$ Area Of Circle Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Area_{(Circle)} =\: {\pi}r^2}}}\: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius

Solution :-

First, we have to find the radius :

$\implies \bf Circumference_{(Circle)} =\: 2{\pi}r$

$\implies \sf 2{\pi}r =\: 88$

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

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

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

$\implies \sf r =\: \dfrac{616}{44}$

$\implies \sf r =\: 14\: cm$

Now, we have to find the area of circle :

$\mapsto \bf Area_{(Circle)} =\: {\pi}r^2$

$\mapsto \sf Area_{(Circle)} =\: \dfrac{22}{7} \times (14)^2$

$\mapsto \sf Area_{(Circle)} =\: \dfrac{22}{7} \times 196$

$\mapsto \sf\bold{\red{Area_{(Circle)} =\: 616\: cm^2}}$

$\therefore$ The area of the circle is 616 cm² .

Answer 2

• As per the data given in the question, we have to determine the area of the circle.

        Given data:-Circumference=$88cm.$

        To find:- Area.

         Solution:-

• As we know that, The perimeter of the circle will be find using the equation
• C=2π(r), where r= the radius of the circle.

       Therefore,

       $\Rightarrow C=2\pi r\\\\\Rightarrow 88=2\pi r\\\Rightarrow r=\frac{88}{2\pi }\\\Rightarrow r=14cm.$

  So, the area of circle will be

      $=\pi r^{2} \\=\pi\times 14^{2} \\=616cm^{2}.$

Hence, the area will be $616cm^{2}.$