Question

A man walks around a circular park 5 times daily . If the diameter of a park is 700 m how much distance does the man walk daily

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Answer 1

Required Solution:

→ 1100 m

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Given:

• A man walks around a circular park 5 times daily .

• Diameter of the park = 700 m

To calculate:

• Distance covered by the man daily.

Calculation:

We have to calculate the circumference of the circular park in order to calculate total distance covered by the man daily if he walks 1 round.

As we are given that diameter is 700 m.

We know that,

★$\boxed {\sf{ Diameter = 2 \times Radius }}$

But, according to the question :

$\sf{ \longrightarrow 700 \: m = 2 \times R }$

$\sf{ \longrightarrow \dfrac{700 \: m}{2} = R }$

$\sf{ \longrightarrow 350 \: m = R }$

Therefore, radius of the circular park is 350 m.

Now, as we know that :

★$\boxed {\sf{ Circumference = 2 \pi r}}$

Inserting the values, we get :-

$\sf {\longrightarrow Circumference = 2 \times \dfrac{22}{7} \times 350 }$

$\sf {\longrightarrow Circumference = 2 \times 22 \times 50 }$

$\sf {\longrightarrow Circumference = 44 \times 50 }$

$\sf {\longrightarrow Circumference = 220 \: m }$

Therefore, distance covered by him if he walks around the park one time is 220 m.

As he walks around a circular park 5 times daily, this means he covers 5 rounds daily. Therefore,

$\sf {\longrightarrow Distance \: covered = (220 \times 5)m }$

$\sf {\longrightarrow Distance \: covered = 1100 \: m }$

Hence, he covers 1100 m daily.

Answer 2

Question :-

• A man walks around a circular park 5 times daily . If the diameter of a park is 700 m how much distance does the man walk daily.

Given :-

• Diameter of the Park = 700m
• He walks the park 5 times daily

To Find :-

• How much distance he covers daily

Solution :-

According to the Question :-

★ Diameter of Circle = 2 × Radius ★

⇛ 700 = 2 × Radius

⇛ 700/2 = Radius

⇛ 350m = Radius

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He walk on the Perimeter of Circle ( Circumference) , so distance covered in 1 round will be given by :-

★ Circumference of Circle = 2π r ★

⇒ Circumference = 2 × 22/7 × 350

⇒ Circumference = 2 × 22 × 50

⇒ Circumference = 220m

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So, he walk 220m in 1 round , Now to find the distance covered in 5 round , we will Multiply the distance covered in one round with 5.

★ Distance Covered in 5 rounds = 5 × 220 ★

⇛ Distance = 5 × 220

⇛ Distance = 1100m

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∴ He cover 1100m in 5 rounds daily.

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