Question

)Find the radius and area of a circle whose circumference is
132 cm.

Answer 1

Given :

• Circumference of Circle is 132 cm .

To Find :

• Radius and Area of Circle .

Solution :

Firstly we will Find Radius of Circle :

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{132=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{132\times{7}=44r}$

$\longmapsto\tt{924=44r}$

$\longmapsto\tt{r=\cancel\dfrac{924}{44}}$

$\longmapsto\tt\bf{r=21\:cm}$

Radius of Circle is 21 cm ..

Now ,

$\longmapsto\tt{Radius=21\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Circle=\pi{{r}^{2}}}$

Putting Values :

$\longmapsto\tt{\dfrac{22}{7}\times{21}\times{21}}$

$\longmapsto\tt{22\times{3}\times{21}}$

$\longmapsto\tt\bf{1386\:{cm}^{2}}$

So , The Area of Circle is 1386 cm² ..

Answer 2

Answer:

$\sf Radius \;of \;the \; circle = \boxed{21 cm}$

$\sf Area \;of \;the \;circle = \boxed{ 1386 cm\².}$

Step-by-step explanation:

RADIUS OF THE CIRCLE

Circumference of the circle = 132 cm ( Given)

We know that the equation to find out circumference of a circle,

$\bigstar$ Circumference = 2πr

So, From the question

132 = 2πr

Here we have to find the radius of the circle,

r = 132/  2π

r = $\huge \frac{132}{2*\frac{22}{7} }$

r = $\huge \frac{132}{\frac{44}{7} }$

r = $132*\frac{7}{44}$

$\red\bigstar$ r = 924/44 = 21cm.

AREA OF THE CIRCLE

$\bigstar$Area of a circle = π r²

On putting Values of π as 22/7 and r as 21

Area = 22/7 ×(21)²

Area = 22/7 × 21×21

Area = 22×3×21

$\red\bigstar$ Area of the circle = 1386 cm².