Question

A circular ground has radius 56cm. A 7m wide road runs outside and around it. Find the are of the road.

Answer 1

Given:

• Radius of circular ground = 56 m
• Width of road = 7 m

To find:

• Area of road?

Solution:

We know that,

Shape of Ground is circular.

Therefore,

• Area of circular ground = πr²

→ 22/7 × 56 × 56

→ 22 × 8 × 56

→ 9856 m²

Now,

Finding area of circular ground including road,

where,

• Radius = 56 + 7 = 63 m

Therefore,

• Area of circular ground including road,

→ 22/7 × 63 × 63

→ 22 × 63 × 9

→ 12474 m²

Therefore,

★ Area of road = Area of circular ground including road - Area of circular ground

→ Area of road = 12474 - 9856

→ Area of road = 2618 m²

Hence, Area of road is 2618 m².

Answer 2

Question given:-

A circular ground has radius 56cm. A 7m wide road runs outside and around it. Find the area of the road.

Given Values:

• Circular ground having radius=56cm
• There is one road that runs outside around the circle and it's width is 7m.

We have to find:

↠The area of the road.

Solution:

Radius of the circle ground (given)=56m

Area of circular ground $\rm{=πr²}$

$\rm{=}\dfrac{22}{7}×56²$

$\rm{=}\dfrac{22}{7}×3136$

$\rm{=22×448}$

$\rm{=9856m²}$

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→ $\rm{Width\:of\:road=7m}$

Area of the circular ground including road $\rm{=πr²}$

First find the Radius of the circle including road.

$\rm\mapsto{Radius=56+7}$

$\rm\mapsto{Radius=63}$

Now,

$\rm\pink\leadsto\pink{★Area=πr²}$

$\rm\leadsto{Area=}\dfrac{22}{7}×(63)²$

$\rm\leadsto{Area=}\dfrac{22}{7}×3969$

$\rm\leadsto{Area=22×567}$

$\rm\leadsto{Area=12,474}$

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The area of the road=Area of the circular ground along with road${-}$Area of the circular ground

Putting the values

$\rm\leadsto{12,474-9856}$

$\rm\leadsto{2618\:m}^{2}$

_______________

Hope it's helpful !