How far will a point travel if it goes?

Question

a. 1/4 the way around the unit circle?

b.1/6 the way around the unit circle?

c. 3/4 the way around the unit circle?

d.1/2 the way around the unit circle?

e.3/8 the way around the unit circle?

i need your help right now,

ma'am, sir ,can you help me?

Answer 1

you can solve all of the above questions, by using this simple rule:

the circumference = π * d

and therefore it's:

a. x = πd/4

b. x = πd/6

c. x = 3πd/4

d. x = πd/2= π*r

e. x = 3πd/8

Cheers,

Aleks

Answer 2

a. pie/2

b. pie/3

c. 3pie/2

d. pie

e. 3pie/4

sorry but i could not type the symbol for pie = 22/7 = 3.14

Answer 3

When you calculate the distance around the circle, you're calculating the circle's circumference.  And the formula to calcaulate that is

C = 2πr    and r is the radius of the circle

unit circle's radius,  r = 1. Therefore   C = 2π

1>  C(1/4) = 2* 3.1415*(1/4)  units     or  2 Pi/4 = Pi/2

2>  C(1/6) = 2* 3.1415*(1/6)  units      or 2 Pi/6  = Pi/3

3>  etc.......

just substitue your "r" for the given value.

good luck

PS.  pi can be written as "pi", or 3.1415....  as a decimal

Answer 4

Traveling around the unit circle implies you are trying to find Arc-length, not chord length.

In a unit circle (radius 1) the circumference (2*PI*R ) is 2PI.

Multiply the fractions given by 2PI to find each answer.

a)

1/4*2PI = PI/2

b)

1/6*2PI = PI/3

c)

3/4*2PI = 3PI/2

d)

1/2*2PI = PI

e)

3/8*2PI = 3PI/4

Answer 5

The circumference of a circle is given by:

C = 2πr where r is the radius

The unit circle has r = 1.  Therefore, we have that C = 2π

Therefore, we have that:

1)  Distance = D = (2π)(1/4) = π/2 units

2)  Distance = D = (2π)(1/6) = π/3 units

3)  Distance = D = (2π)(3/4) = 3π/2 units

3)  Distance = D = (2π)(1/2) = π units

4)  Distance = D = (2π)(3/8) = 3π/4 units

Hope this helps!