Answer:

Diameter of circle is [tex]20.3\ m[/tex] .

Step-by-step explanation:

To find : diameter of circle .

Given : circumference is [tex]63.8[/tex] m.

Solution :

• As per given that we know that circumference of circle is [tex]63.8\ m[/tex] .We are asked to find diameter of circle.
• We use following formula to find circumference of circle, using this formula we find find radius of circle by substituting the given values.
• Circumference of circle [tex]= 2\pi r[/tex]  

       [tex]63.8 = 2\times\frac{22}{7}\times r \\r = \frac{63.8 \times 7}{2\times 22} \\r = 10.15[/tex]

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

       [tex]$\begin{aligned} \text { Diameter } &=2 r \\ &=2 \times 10.15 \\ &= 20.3\mathrm{~m} \end{aligned}$[/tex]

Circumference of a given circle is 63.8m

∴C=63.8m

Let the radius of the given circle be r m

Then,

C=2πrunits

r=

2

C

π

r=

2×

7

22

63.8

r=

2

63.8

×

22

7

r=(31.9×0.3182)

r=10.15m

∴ Diameter of the circle =2r=(2×10.15)=20.3cm