Math, asked by Anonymous, 10 months ago

tell the answer of his picture​

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Answered by ss141309
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

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