Question

A boyrunning on the circular path of radius 35 cm completes half circle . Find distance and displacement.

Answer 1

Answer:

• Distance = 110cm.
• Displacement = 70cm.

Explanation:

Given that,

A boy is running on a circular path of radius 35cm and completes half circle.

We need to find the distance and displacement.

Here,

Distance covered by the boy is the half around the circle.

Or, half of the circumference.

We know,

Circumference of a circle is 2πr

So, the distance covered by the boy is,

→ ½ of 2πr

→ πr

Where,

• Taking ‘π’ as 22/7
• r denotes the radius = 35cm.

So,

→ 22/7 × 35

→ 22 × 5

→ 110cm

∴ Distance covered by the boy is 110cm.

Now,

Finding it's displacement.

Since, the displacement is the shortest distance from the starting point to its destination.

Here,

The shortest distance from the starting points say A to the the destination say B is the diameter of the circle.

Radius given is 35cm.

Then, the diameter will be 35 × 2 = 70cm

∴ Displacement is 70cm

_____________________

Note :

• Displacement is the shortest distance from the starting point to ending point.

• Diameter is twice the radius.

Formula used :

• Circumference of a circle = 2πr