Question

the area of circle is 2464 cm Find the diameter

Answer 1

area of circle=pie×r^2

2464=22/7×r^2

r^2=2464×7/22

r^2=112×7

r=root7×16×7

r=28cm

D=2r

D=56 cm

so diameter is 56 cm

Answer 2

Answer:

The diameter of the circle is 56 cm.          

Step-by-step explanation:

Given : The area of the circle is 2464 cm square.

To find : The diameter of the circle?

Solution :

The area of the circle is defined as

$A=\pi r^2$

Where, A=2464 cm² is the area,

r is the radius

Substituting the values,

$2464=\frac{22}{7}\times r^2$

$r^2=\frac{2464\times 7}{22}$

$r^2=784$

$r=\sqrt{784}$

$r=28$

Radius of the circle is 28 cm.

The diameter of the circle is $D=2r$

$D=2\times 28$

$D=56cm$

Therefore, The diameter of the circle is 56 cm.