Question

A man is running around a circular track of radius 14 m. After completing three and halfrevolution
find the distance and displacement covered by him.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Distance=308\:m}}}$

$\green{\tt{\therefore{Displacement=28\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Radius \: of \: circular \: track = 14 \: m \\ \\ \tt: \implies Total \: revolution = 3 \: and \: \frac{1}{2} \: revolution \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Distance = ? \\ \\ \tt: \implies Displacement = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Circumference \: of \: track = 2\pi r \\ \\ \tt: \implies Circumference \: of \: track =2 \times \frac{22}{7} \times 14 \\ \\ \tt: \implies Circumference \: of \: track =2 \times 22 \times 2 \\ \\ \green{\tt: \implies Circumference \: of \: track =88 \: {m}^{2} } \\ \\ \bold{For \: Distance} \\ \tt: \implies Total \: Distance = Circumference \times Revolution \\ \\ \tt: \implies total \: Distance =88 \times 3.5 \\ \\ \green{\tt: \implies Total \: Distance =308 \: m} \\ \\ \bold{For \: Displacement} \\ \tt: \implies Displacement =2 \times Radius\: of \: circular \:track \\ \\ \tt: \implies Displacement =2 \times 14 \\ \\ \green{\tt: \implies Displacement =28 \: m}$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{Given \: - }}$

• Radius Of Track = 14m.

________________

$</p><p>\tt{\orange{Step-By-Step-Explaination \: - }}$

°

$</p><p>\tt{\purple{\therefore{Circumference \: Of \: Circle \: = 2πr = 88m . }}}$

$</p><p>\tt{\blue{Total \: Distance \: Covered In \: 3 \: Revolutions \: = 264 \: m.}}$

$</p><p>\tt{\green{Total \: Displacement \: Covered In \: 3 \: Revolutions \: = 0 \: m.}}$

$</p><p>\tt{\blue{Distance \: Covered In \:a \: \dfrac{1}{2} \: Revolution \: = \: Displacement \: = 44 \: m.}}$

$</p><p>\tt{\purple{\implies{Total \: Distance \: = 308 \: m. }}}...........(A)$

$</p><p>\tt{\orange{\implies{Total \: Displacement \: = 44 \: m. }}}..........(A)$