Question

there is a circular ground whose area 246400 sq m. if a person runs at the speed of 14.08m/s, then how much time will he take to complete the circle?
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Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• A circular ground whose area is 246400 sq.m
• A person running in that circular track at a speed of 14.08 m/s

To Find:

• Time Required by the person to complete the circle .

Solution:

Let the radius of circular ground = r m

Since it is given that the

Area = 246400

$\pi. {r}^{2} = 246400 {m}^{2}$

$(\dfrac{22}{7}). {r}^{2} = 246400$

${r}^{2} = 78400$

$r = \sqrt{78400}$

$r = 280m$ -----------(1)

Hence the radius of circular ground is 280 m

Circumference of ground = $2.\pi.r$

Using equation (1)

Circumference = $2.( \dfrac{22}{7}).280$

Circumference = 1760 m ------(2)

Circumference of circle is 1760 m

______________________________

Let us assume

Time required by the person = T sec

Speed of the running person = 14.08 m/s

Distance = Circumference

Using equation (2)

Distance = 1760 m

We know that

Distance = Speed x Time

1760 = 14.08 x T

T = 125 seconds

Hence 125 seconds are required by the man to complete the circle