Question

Circumference sheet 154m and find radius also find area of the sheet pi=22/7

Answer 1

$\huge\sf{\underline{\underline{Solution:}}}$

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Circumfrence of circular sheet = 154m.

Radius=?

Area=?

$2 \: \pi \: r = 154$

$2 \times \frac{22}{7} \times r = 154 \\ \\ v = \frac{154 \times 7}{2 \times 22} = \frac{77 \times 7}{22} </p><p> \\ \\ \frac{7 \times 7}{2} = r = \frac{49}{2}$

Area =?

$area = \pi r {}^{2} \\ \\ = \frac{22}{7} \times \frac{49}{2} \times \frac{49}{2} \\ \\ \frac{77 \times 49}{2} \\ \\ = \frac{3773}{2} \\ \\ = 1886.5m {}^{2}$

• $\bold{Radius\: of\: sheet}$= $\frac{49}{2}$

• $\bold{Area\: of \:sheet}$ = $1886.5m^2$

Answer 2

$\bold{\underline{\underline{\huge{\sf{ANSWER\::}}}}}$

Given:

The sheet of the circumference is 154m.

To find:

The radius and the area of the sheet.

Explanation:

We have,

Circumference= 154m

We know that formula of the circumference: 2πr

→ 154m = 2× 22/7 × r

→ 154m = 44/7 × r

→ $r=\:\frac{\cancel{154}*7}{\cancel{44}}$

→ r= (3.5 × 7)m

→ r= 24.5m

&

Formula of the area of the circle: πr² [sq. unit]

→ Area of the sheet= $(\frac{22}{7} *24.5*24.5)m^{2}$

→ Area of the sheet= $(\frac{22}{\cancel{7}} *\cancel{24.5}*24.5)m^{2}$

→ Area of the sheet= (22 × 3.5 × 24.5)m²

→ Area of the sheet= 1886.5m²

Thus,

• Radius of the sheet= 24.5m
• Area of the sheet= 1886.5m².