Question

area of the circle is 154cm² , then find it's circumference​

Answer 1

Answer:

area of the circle =πr^2

here, given area is 154cm^2

so,πr^2=154cm^2

As we know that the value of pie is 22/7

now,22/7×r^2=154

=r^2=49

=>r=√49

=>r=7cm

now circumference of circle is 2πr ,where r is radius

2πr = 2×(22/7)×7cm

= 44 cm

so the circumference of circle is 44 cm

Answer 2

Step-by-step explanation:

$\huge\fbox \red{A}\fbox \green{N}\fbox \purple{S}\fbox \orange{W}\fbox \red{E} \fbox \orange{R}$

Area of square = 154 cm²

$\huge area \: of \: circle \: = {\pi \: r}^{2} \\ \huge 154 {cm}^{2} = \frac{22}{7} \times {r}^{2} \\ \huge {r}^{2} = \frac{7 \times \cancel {154} \: {}^{7} }{ \cancel{22} \: {}^{1} } \\ \huge {r}^{2} = 49 \\ \huge \: r = 7 \: cm$

So, r of circle is 7 cm

Then , Circumference of circle

$\huge\bold{circumference \: of \: circle \: = 2\pi \: r} \\ \huge\bold{ = 2 \times \frac{22}{ \cancel{7}} \times \cancel{7} } \\ \huge\bold{ = 44 \: cm}$

So, Circumference of circle is 44cm.