Question

Find the cost of polishing a circular table top of diameter 5.8 metre if the rate of polishing is Rs
10 square

Answer 1

$\underline{ \underline{ \Large \bf { Clarification:} } }$

Here, we are given that the diameter of the circular table top is 5.8 m. We have to find the rate of polishing the circular table top at the rate of Rs. 10 per m². So, basically here we've to find the area of the table top as we have to find the cost of polishing the total area of the table top then we'll multiply the required area with Rs 10 to find the total cost of polishing the circular table top.

$\underline{ \underline{ \Large \bf { Given:} } }$

• Diameter of the table top = 5.8 m

• Rate of polishing per m² = Rs. 10

$\underline{ \underline{ \Large \bf { To \; calculate:} } }$

• The cost of polishing the circular table top.

$\underline{ \underline{ \Large \bf { Calculation:} } }$

In order to find the cost of polishing the circular table top, we need to find the area of the circular table top.

We know that,

⇒ Area of the circle = πr²

⇒ Area of the circular table top = πr²

⠀⠀⠀⠀⠀⠀⠀⠀⇒ Diameter = 2r

⠀⠀⠀⠀⠀⠀⠀⠀⇒ 5.8 m = 2r

⠀⠀⠀⠀⠀⠀⠀⠀⇒ $\sf{ \dfrac{5.8}{2}}$ m= r

⠀⠀⠀⠀⠀⠀⠀⠀⇒ $\sf{ \dfrac{58}{20}}$ m= r

⠀⠀⠀⠀⠀⠀⠀⠀⇒ $\sf{ \dfrac{29}{10}}$ m= r

⠀⠀⠀⠀⠀⠀⠀⠀⇒ 2.9 m = r

⇒ Area of the circular table top = $\sf{ \dfrac{22}{7}}$ × (2.9)² m²

⇒ Area of the circular table top = $\sf{ \dfrac{22}{7}}$ × 8.41 m²

⇒ Area of the circular table top = $\sf{ \dfrac{185.02}{7}}$ m²

⇒ Area of the circular table top = 26.43 m²

Now,

⇒ Rate of polishing per m² = Rs. 10

⇒ Rate of polishing 26.43 m² = Rs. ( 10 × 26.43 )

⇒ Rate of polishing 26.43 m² = Rs. 264.3

Therefore, the cost of polishing a circular table top is Rs 264.3 .