Question

a park is in shape of a circle. a man crossed the park across its diameter ab. what percentage of distance is saved by not walking along the circumference?

Answer 1

Answer:

There 57% of the distance is saved by not walking along the circumference.

Step-by-step explanation:

• Distance exists as a scalar quantity that guides "how much ground an object has covered" during its movement.
• Displacement exists as a vector quantity that guides "how far out of position an object is"; it is the object's overall difference in position.

Assume the radius of the circular park be r.

Distance traveled by walking across diameter =2 r

Distance traveled by walking along the circumference,

$=\frac{2 \pi r}{2}=3.14 \mathrm{r} \quad \mathrm{A}$

Distance retain $=3.14 r-2 r=1.14 r$

Percentage distance saved $=\frac{1.14 r}{2 r} \times 100$

$=57 \%$

Therefore, 57% of distance exists preserved by not walking along the circumference,

The image is shown below,

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