Question

A particle moves in a circle with O as centre and

AO = OB = 5 cm, as radius, as shown in the figure.

It starts from A. Calculate:

(a) the distance covered, and

(b) the displacement, when it reaches B​

Answer 1

Given: A particle moves in a circle with O as the centre and AO = OB = 5 cm, as the radius.

To find:

• the distance covered
• the displacement, when it reaches B​

Solution:

"The total distance covered by the particle in the circle is the boundary or the circumference of the given circle."

To find the circumference of the given circle: 2πr

Here, r = 5 cm, π = 3.14

Circumference = 2 x 3.14 x5

                         = "31.4 cm"

"Displacement may be defined as the shortest distance travelled by the point."

in the given diagram the shortest distance travelled by the point is AB which is "10 cm"

Answer 2

Explanation:

Given: A particle moves in a circle with O as the centre and AO = OB 5 cm, as the radius.

To find:

⚫ the distance covered

the displacement, when it reaches B

Solution:

"The total distance covered by the particle in the circle is the boundary or the circumference of the given circle."

To find the circumference of the given circle:

Here, r = 5 cm, π = 3.14

Circumference = 2 x 3.14 x5

= "31.4 cm"

"Displacement may be defined as the shortest distance travelled by the point."

in the given diagram the shortest distance travelled by the point is AB which is "10 cm"