Hey ! there
Answer:
Step-by-step explanation:
In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .
We have to solve this question with the help of circumference formula for circle that is ,
[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]
Where ,
- r refers to radius of circle
Solution : -
For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,
[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]
Step 1 : By multiplying 2 , 3.14 and r , We get :
[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]
Step 2 : Dividing with 6.28 on both sides :
[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]
- Henceforth , radius of circle is equal to 4 .
Verifying : -
Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,
Therefore our answer is correct .
Please Note : We aren't using any unit for the values because in the question no units are provided .
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