Question

Ifthe circumference of acircular sheet is 154 m . Find its radius . Also find the area of the sheet take 22 by seven​

Answer 1

Circumference = 2πr

so , 2 × 22/7 × r = 154

r = 154 × 7 / 44

r = 1078 / 44

r = 49 m

Now are of sheet = πr^2

= 22 / 7 × 49 × 49

= 7546 m^2

Answer 2

$\large\underline {\maltese{ \textsf {\textbf{ \: Question:}}}}$

If the Circumference Of a circular sheet is 154 m . Find its Radius . Also find the area of the sheet by taking π ≈ 22/7.

$\large{\underline{\maltese{\textsf {\textbf { \: Answer:}}}}}$

$\large\mathfrak{ \dag \: Given: }$

$\small \bullet \sf \: \: Circumference \: of \: a \: circle \: = 154 \: m$

$\small\bullet \sf \: Value \: of \: \pi \: \approx \: \frac{22}{7}$

$\large\mathfrak{ \: \: \dag \: To \: Find \: Out : }$

$\small \bullet \sf \: \: Radius \: Of \: a \: \bold {circular \: sheet \: } \:$

$\bullet \small \sf \: \: Area \: of \: a \: \bold{ \: circular \: sheet}$

$\large\mathfrak{\dag \: Required \: Formulas : }$

$\longrightarrow \: \sf \: Radius \: = \bold{\frac{C}{2 \pi} }$

$\longrightarrow \: \sf \: Area \: = \bold{ \: \pi \: {r}^{2} }$

$\large\star \: \underline{ \underline{ \sf by \: using \: formula \: radius \: of \: a \: circular \: sheet : }}$

$\small \implies\sf \: Radius \: = \frac{C}{2 \pi}$

$\small\implies \sf \: Radius \: = \frac{154 \times 7}{2 \times 22}$

$\small\implies \sf Radius \: = \frac {\cancel{1078}} {\cancel{44}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \therefore\boxed {\underline {\mathfrak{ \red{ Radius \: = 24.5 \: m}}}} \: \: \: \: \: \: \: \:$

$\large\star \sf \: { \underline {\underline by \: using \: a \: formula \: area \: of \: a \: \bold { \: circular \: sheet: }}}$

$\small \implies \sf \: Area \: = \pi \: {r}^{2}$

$\small \implies \sf \:Area \: = \frac{22}{7} \times 24.5 \times 24.5 \: \:$

$\small \implies \sf \: Area \: = \frac{22}{ \cancel{7}} \times { \cancel{600.25}}$

$\small \implies \sf \:Area \: = 22 \: \times 85.75$

$\: \: \: \: \: \: \: \: \: \: \: \: \therefore \: \boxed {\underline { \mathfrak{ \red{ \: Area \: = 1886.5 {cm}^{2} }}}} \: \: \: \: \:$

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~@amna3961 ♡︎ ✔︎