Question

circumference of circular sheet is 154 m find its radius and area​

Answer 1

Step-by-step explanation:

circumference of circle =154m

formula=2πr

2πr=154

2×22/7×r=154

r=7×7/2=49/2

=24.5 radius

area of circle=πr²

=22/7×24.5×24.5

=49×7×11/5=3443/5

=688.6m²

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Answer 2

$\huge\bf\boxed{\boxed{\underline{\red{Answer!!}}}}$

$\bold{Given}$

Circumference of circular sheet - 154m

$\bold{To \:find}$

Radius = ?¿

Area = ?¿

Now :

We know the formula of ;

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Circumference \:of \:circle = 2πr}}}}}}}}}$

$\bold{\:\:\:\:\:\:\:\:\: C = 2πr}$

$\bold{\:\:\:\:\:\:\:\:154 = 2 × \frac{22}{7} × r}$

$\bold{\:\:\:\:\:\:\:\:154 = 2 × 3.14 × r}$

$\bold{\:\:\:\:\:\:\:\:154 = 6.24 × r}$

$\bold{\:\:\:\:\:\:\:\:(\frac{154}{6.24}) = r}$

$\bold{\:\:\:\:\:\:\:\:(\frac{154}{6.24} × \frac{100}{100}) = r}$

$\bold{\:\:\:\:\:\:\:\:(\frac{15400}{624}) = r}$

$\bold{\:\:\:\:\:\:\:\:24.64 = r}$

✵ Radius is 24.64m

Now to find the area ??

We know the formula ;

${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{Area of circle = πr² }}}}}}}}}$

$\bold{\:\:\:\:\:\:\:\:\:A = πr²}$

$\bold{\:\:\:\:\:\:\:\:\:A = \frac{22}{7} × (24.64)²}$

$\bold{\:\:\:\:\:\:\:\:\:A = \frac{22}{7} × (\frac{49}{2})²}$

$\bold{\:\:\:\:\:\:\:\:\:A = \frac{22}{7} × \frac{49}{2} × \frac{49}{2}}$

$\bold{\:\:\:\:\:\:\:\:\:A = 11 × 7 × \frac{49}{2}}$

$\bold{\:\:\:\:\:\:\:\:\:A = 77 × \frac{49}{2}}$

$\bold{\:\:\:\:\:\:\:\:\:A = \frac{3773}{2}}$

$\bold{\:\:\:\:\:\:\:\:\:A = 1886.5m²}$

✵ Area = 1886.5m²

$\huge{\underline{\mathtt{\blue{Radius = 24.64m}}}}$

$\huge{\underline{\mathtt{\blue{Area = 1886.5m²}}}}$