A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.
The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;
[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]
Here, D is the diameter of the circle or distance between the circle.
We are asked to find the circumference of the circle if the diameter is 8 inches.
We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;
[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]
[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]
[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]
Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.
Answer:
Step-by-step explanation:
In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .
For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :
[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]
Where ,
Solution : -
As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .
We know that diameter of circle is two times its radius ,
[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]
So for radius we are dividing both side with 2 :
[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]
We get that ,
[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]
Therefore , we can say that radius of circle is half of its diameter .
Now using this , firstly we are finding radius of circle . So :
[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]
Now , we are moving towards our final solution .
So ,
[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]
Multiplying 2 with 3.14 :
[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]
Multiplying 4 and 6.28 :
[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]
