Question

If the circumferance of circular sheet is 132 cm find its radius and area

Answer 1

Step-by-step explanation:

$circumference \: of \: circular \ \\ sheet \: \\ is \: given \\ n \: 132 \: cm$

$we \: have \: to \: find \\ its \: radius \: and \: area$

$circumference \: of \: circle \: \\ = 132$

$2\pi \: r = 132$

$2 \times \frac{22}{7} \times r = 132$

$r = \frac{132 \times 7}{2 \times 22}$

$r = \frac{66 \times 7}{22}$

$r = \frac{33 \times 7}{11}$

$r = \frac{ 3\times 7}{1}$

$r = 21 \: cm$

NOW,

Area of circle =2 ×22/7×r²

=2×22/7×21×21

=2×22×3×21

=2772 cm²

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

HOPE IT HELPS YOU...

PLZ THANK TO MY ANSWER AND MARK MY ANSWER AS BRAINLIST...

Answer 2

$\huge\bf\red{\underline{\underline{Given}}}\::$

• $\sf\gray{The\: perimeter\: of \:a\: circular\: plate\: is \: 132 cm }$

$\huge\bf\red{\underline{\underline{To\:Find}}}\::$

• $\sf\gray{Radius\:\&\:Area }$

$\huge\bf\red{\underline{\underline{Solution}}}\::$

$\star\:\sf\orange{Let, \:the\: radius\: of\: the\: plate\: be\: r}$

$\hookrightarrow\:\sf\pink{Perimeter\:=\:2\pi r}$

$\hookrightarrow\:\sf\purple{132cm\:=\:2\:\times\:\dfrac{22}{7}\:\times\: r}$

$\hookrightarrow\:\sf\pink{132cm\:=\:\dfrac{44}{7}\:\times\: r}$

$\hookrightarrow\:\sf\purple{\dfrac{44}{7}\:\times\: r\:=\:132cm}$

$\hookrightarrow\:\sf\pink{r\:=\:132\:\times\:\dfrac{7}{44}}$

$\hookrightarrow\:\sf\purple{r\:=\:\dfrac{924}{44}}$

$\hookrightarrow\:{\underline{\boxed{\sf{\red{Radius\:=\:21cm_{}}}}}}$

$\star\:\sf\orange{Area_{\:(plate)}\:=\:\pi r^{2}}$

$\mapsto\:\sf\blue{Area_{\:(plate)}\:=\:\dfrac{22}{7}\:\times\:21^{2}}$

$\mapsto\:\sf\green{Area_{\:(plate)}\:=\:\dfrac{22}{7}\:\times\:441}$

$\mapsto\:\sf\blue{Area_{\:(plate)}\:=\:\dfrac{9702}{7}}$

$\mapsto\:{\underline {\boxed{\sf{\red{Area_{\:(plate)}\:=\:1386cm^{2}}}}}}$