Question

the circumference of circle is 22cm .find its area​

Answer 1

Answer:

154 cm²

Step-by-step explanation:

Circumference of circle = 2πr

Area of Circle = πr²

Answer 2

Answer ::

The area of circle is 38.5cm².

Step-by-step explanation ::

To Find :-

• The area of circle

Given that :-

• Circumference of circle = 22cm

Solution :-

As we know that,

Circumference of circle = 2πr,

$\sf{\mapsto \: 2 \pi \: r = 22} \\ \\ \\ \sf{\mapsto \: 2 \times \dfrac{22}{7} \times r = 22} \\ \\ \\ \sf{\mapsto \: \dfrac{2 \times 22}{7} \times = 22} \\ \\ \\ \sf{\mapsto \: \dfrac{44}{7} \times r = 22} \\ \\ \\ \sf{\mapsto \: r = 22 \times \dfrac{7}{44}} \\ \\ \\ \sf{\mapsto \: r = \cancel{22} \times \dfrac{7}{ \cancel{44}}} \\ \\ \\ \sf{\mapsto \: r = \dfrac{7}{2}} \: \: \: \: \: \bigstar$

The radius of circle is $\sf{\dfrac{7}{2}}$.

ACCORDING THE QUESTION,

The area of circle is,

As we know that,

Area of circle = πr²,

$\sf{\mapsto \: \pi \: {r}^{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{22}{7} \times {r}^{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{22}{7} \times { \bigg( \dfrac{7}{2}}\bigg)^{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{22}{7} \times \dfrac{7}{2} \times \dfrac{7}{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{ \cancel{22}}{ \cancel{7}} \times \dfrac{ \cancel{7}}{ \cancel{2}} \times \dfrac{7}{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{11 \times 7}{2}} \\ \\ \\ \sf{\mapsto \: \dfrac{77}{2}} \\ \\ \\ \sf{\mapsto \: 38.5}$

The area of circle is 38.5cm².