Question

tell the answer of his picture​

Answer 1

Answer:

$4007.14 \; \; m^2 \\250 \; \; m$

Step-by-step explanation:

Let the radius of the inner circle be $r$

then the radius of the outer circle will be $(r+5)$

Then the circumference of the inner circle will be $2\pi r$

and the circumference of the outer circle will be $2\pi (r+5)$

We know that the ratio of their circumference is $26:25$

⇒$\frac{2\pi (r+5)}{2\pi r} = \frac{26}{25}$

Cancelling out the $\pi$:

⇒$\frac{2(r+5)}{2r} =\frac{26}{25}$

Cross-multiplying:

⇒$25\cdot (2r+10)=26 \cdot 2r$

⇒$50r+250=52r$

⇒$2r=250$

$r=125 \; \; metres$

∴The diameter of the inner circle is $125 \cdot 2=250 \; \; m$

Area of the path = Area of the outer circle - Area of the inner circle

                          = $\pi \cdot 130^{2} -\pi \cdot 125^{2}$

                         =$4007.14 \; \; m^2$