Question

the inner circumference of a circular track is 2 4 2 metre the track is uniformly 7 metre wide find the area of the track​

Answer 1

Answer:

area of outer circle(r=242+7)- Ar of inner circle (r=242) = Ar of track calculate now

Answer 2

Answer:

$1848 {m}^{2}$

Step-by-step explanation:

Inner Circumference of the track: 242m

Circumference of a Circle: 2πr unit.

Let the radius of the inner circumference be: r.

$2( \frac{22}{7} )r = 242$

$\frac{44r}{7} = 242$

{Transposing 44/7 to RHS...}

$r \: = 242( \frac{7}{44} )$

$r \: = 38.5$

Radius of the inner circumference: 38.5m.

Width of the track: 7m.

Radius of outer circumference: 38.5 + 7

→45.5m

Area of the whole track:

$\pi {r}^{2}$

$\frac{22}{7} \times {45.5}^{2}$

$6506.5 {m}^{2}$

Area of the circle enclosed by the track:

$\pi {r}^{2}$

$\frac{22}{7} \times {38.5}^{2}$

$4658.5 {m}^{2}$

Area of the track: 6506.5 - 4658.5

→1848 m^2

Hence, the area of the track is 1848 sq.m.

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