Question

Find the circumference of a circle whose area is 7546 sq.cm.(Take^=22by7)

Answer 1

Given :

• Area of the circle = 7546 cm².
• π = 22/7

To Find :

• The circumference of the circle.

Solution :

First we need to find the value of the radius of the given circle (r).

Using Formula : Area of circle = πr².

$\longrightarrow \sf{7546 = \dfrac{22}{7}\times r^{2}}$

$\longrightarrow \sf{\cancel{7546} \times \dfrac{7}{\cancel{\:22\:}} = r^{2}}$

$\longrightarrow \sf{343 \times 7 = r^{2}}$

$\longrightarrow \sf{r^{2} = 2,401}$

$\longrightarrow \sf{r = \sqrt{2,401}}$

$\longrightarrow \sf{r = 49 \: cm}$

• Hence, we got the radius = 49 cm

According to the question, we have to find the circumference of the circle.

Using Formula : Circumference of circle = 2πr.

$\longrightarrow \sf{Circle_{(circumference)} = 2 \times \dfrac{22}{7} \times 49}$

$\longrightarrow \sf{Circle_{(circumference)} = 2 \times \dfrac{22}{\cancel{\:7}} \times \cancel{49}}$

$\longrightarrow \sf{Circle_{(circumference)} = 308 cm}$

• Hence the circumference of the circle = 308 cm.

Answer 2

Answer:

308 cm

Step-by-step explanation:

find in the attached photo