Question

The cost of levelling a circular garden with radius 7m at the rate of Rs.10 per sq,m is

Answer 1

Question :-

• The cost of levelling a circular garden with radius 7m at the rate of Rs.10 per sq,m is

Given :-

• Shape of the Garden = Circle
• Radius of the Circle = 7m
• Rate of levelling per m = Rs, 10

To Find :-

• Cost of levelling a circular park.

Solution :-

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: \pi \:(radius)^{2} }}$

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: \dfrac{22}{7} \:(7)^{2} }}$

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: \dfrac{22}{7} \: \times\:7 \: \times \: 7 }}$

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: \dfrac{22}{\cancel7} \:\times \: \cancel7 \: \times \: 7 }}$

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: 22\times \: 7 }}$

${:} \longrightarrow \sf{\sf{Area \: of \: Circle \: = \: 22\times \: 7 }}$

${:} \longrightarrow \sf{\bf{Area \: of \: Circle \: = \: 154 \: m ^{2} }}$

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$\longmapsto \sf{\sf{Cost \: of \: Levelling \: = \: Area \: \times \: Cost \: per \: Metre}}$

$\longmapsto \sf{\sf{Cost \: of \: Levelling \: = \: 154\: \times \: 10}}$

$\longmapsto \sf{\bf{Cost \: of \: Levelling \: = \: Rs,1540}}$

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∴ Cost of Levelling the park = Rs,1540

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Formulas Related to Circles :-

• Circumference ( Perimeter ) = 2πr
• Area = πr²
• Diameter = 2r

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Answer 2

Answer:

Cost of levelling the circular garden = ₹1540

Step-by-step explanation:

Given :

Radius of the circular garden = 7m

Rate per sq m = ₹10

To find :

The cost of levelling the circular garden

Taken :

To find the cost of levelling the circular garden first find it area .

So , to find the area of the circular garden use this formula -:

$\boxed{\rm{A=\pi{r}^{2}}}$

Where,

A = Area of the circle

r = Radius

After multiply the rate per sq m with the area of the circle.

Solution :

Area of the circle -:

$:\implies\bf{A=\dfrac{22}{7}\times{7m}^{2}}$

$:\implies\bf{A=\dfrac{22}{7}\times(7m\times7m)}$

$:\implies\bf{A=\dfrac{22}{\cancel{7}}\times{49m}}$

$:\implies\bf{A=22\times7}$

$:\implies\bf{A=154{m}^{2}}$

So , the area of the circle is 154m² .

Cost of levelling the circular garden -:

$:\implies\bf{Rs.10\times{154m}^{2}}$

$:\implies\bf{Rs.1540}$

So , the total cost to levelling the circular garden is ₹1540 .