Math, asked by ayanaseer, 9 months ago

The cost of leveling the ground of a circular region at a rate of Rs2 per sq metre is 4928.Find the radius of ground.

Answers

Answered by ratnahasika8f4897s18
7

Hello friends

I am here to help you

Answer:

The radius is 28

Step-by-step explanation:

Area of square = 4928/2

= 2464

22/7 * r*r = 2468

r*r = 2464*7/22

r*r = 784

r = 28

Answered by Anonymous
40

Given:

  • Rate of levelling circular region is Rs2/m².
  • Cost of levelling circular region is Rs4928.

To Find:

  • The radius of the circular region.

Concept Used:

  • We will first find area by dividing Total cost by rate
  • Secondly we will find radius using formula to find area if circle.

Answer:

Given that rate of levelling is Rs 2/m² ,and total cost is Rs4928.

Now , we can find area by dividing Total cost by rate of levelling.

\large{\underline{\boxed{\red{\sf{\hookrightarrow Area=\dfrac{Total\:Cost}{Rate}}}}}}

\sf{\implies Area=\dfrac{Rs\:4928}{Rs 2/m^{2}}}

{\underline{\boxed{\red{\sf{\leadsto Area =2464m^{2}}}}}}

\rule{200}1

Now , we can find the radius of the circle by using the formula to find area of circle.

\large{\underline{\boxed{\red{\sf{\hookrightarrow Area_{circle}=\pi \times(radius)^{2}}}}}}

\sf{\implies \pi \times (radius)^{2}=2464m^{2}}

\sf{\implies  \dfrac{22}{7}\times (radius)^{2}=2464m^{2}}

\sf{\implies (radius)^{2}=\dfrac{\cancel{2464}m^{2}\times7}{\cancel{22}}}

\sf{\implies (radius)^{2}=112m^{2}\times7}

\sf{\implies (radius)=\sqrt{7m\times7\times\times4m\times4}}

\sf{\implies radius =7\times4m}

{\underline{\boxed{\red{\sf{\leadsto radius=28m}}}}}

{\underline{\underline{\purple{\sf{Hence\: radius\:of\:the \: circular\: region\:is\:28m}}}}}

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