Question

If the length of a longest chord of a circle is 14 cm, then the ratio of its circumference to area, is :
(a) 7:2
(b) 1:2
(c) 2:7
(d) 2:1​

Answer 1

Answer:

Ratio of its circumference to area = 2:7

So , the option (c) is correct ....

Step-by-step explanation:

Given :

▪︎The longest chord of the circle is also called the diameter of the circle .

▪︎Longest chord = 14 cm

▪︎Radius = 14cm/2 = 7cm

To find :

The ratio of its circumference to area

Taken :

To find the circumference of the circle use this formula -:

$\boxed{\sf{C=2\pi r}}$

Where,

C = Circumference

r = Radius

And to find the area of the circle use this formula -:

$\boxed{\sf{A=\pi{r}^{2}}}$

Where,

A = Area of the circle

Solution :

$:\implies\sf{R=\dfrac{2\times\dfrac{22}{\cancel{7}}\times\cancel{7cm}}{\dfrac{22}{7}\times(7cm\times7cm)}}$

$:\implies\sf{R=\dfrac{2\times22}{\dfrac{22}{\cancel{7}}\times\cancel{49cm}}}$

$:\implies\sf{R=\dfrac{44cm}{22\times7cm}}$

$:\implies\sf{R=\cancel{\dfrac{44cm}{{154cm}^{2}}}}$

$:\implies\sf{R=\dfrac{2}{7}}$

$:\implies\sf{R=2:7}$

So , the ratio of the circumference to the area of the circle is 2:7 .

Answer 2

Answer:

2:758&6+atsidusifjxzjxhsueivcjsufkdjddutTksjgsysjgxufjckucjlfkvkvjxjgdhfjxditdigzurwykdlyatksjshfshfsyoatjsotslyaitJfajfaitaotskgzotsigzkgakgskgvyskzosgm