Question

You have a circle with a circumference of 25.12 what is the radius?​

Answer 1

r 4 3.99797

Explanation:

Answer 2

Hey ! there

Answer:

• Radius = 4

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 ,

`\qquad\: \quad\underline{\boxed{ \frak{{Circumference_((Circle)) = 2\pi r}}}}`

Where ,

• π refers to 3.14 or 22/7

• 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 ,

`\longmapsto \qquad \:\: 2 * 3.14 * r = 25.12`

Step 1 : By multiplying 2 , 3.14 and r , We get :

`\longmapsto \qquad \: \:6.28r = 25.12`

Step 2 : Dividing with 6.28 on both sides :

`\longmapsto \qquad \: \: \frac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{(25.12)/(6.28) }`

On further calculations, We get :

`\longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}`

• 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 ,

• 2πr = 25.12

• 2 × 3.14 × 4 = 25.12

• 6.28 × 4 = 25.12

• 25.12 = 25.12

• L.H.S = R.H.S

• Hence, Verified.

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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