Question

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.

Answer 1

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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

Answer 2

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.

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

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

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

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

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

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

$\sf{\implies radius =7\times4m}$

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

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