Question

the circumference of a circle is 99cm what is the diameter of the circle

Answer 1

Answer:

Diameter of circle is $31.5\ cm$ .

Step-by-step explanation:

To find : diameter of circle

Given : circumference of a circle is  $99$ cm.

Solution :

• As per given that we know that circumference of circle is $99$ cm. We are asked to find diameter of circle.
• We use following formula to find circumference of circle, using this formula we find radius of circle by substituting the given values.
• Circumference of circle $= 2\pi r$

         $99= 2\times \frac{22}{7} \times r \\\\r = \frac{99\times 7}{2\times22} \\\\ r= \frac{9\times 7}{2\times 2} \\\\r= \frac{63}{4}\\\\r = 15.75$  

• Now, as we know that diameter is twice of radius, therefore we write as ,

       $\begin{aligned} \text { Diameter } &=2 r \\ &=2 \times 15.75 \\ &=31.5 \mathrm{~cm} \end{aligned}$