An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?

Step-by-step explanation:

In any circle the following ratios are equal

=

= =

1/4

Step-by-step explanation:

5/12

Step-by-step explanation:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

We know that angle subtended by whole circumference is .

If r is the radius then Length of whole circumference is

radian has  length

dividing  both side by we have

1 radian has r length  

1 radian = r length      equation a

=> since we have to find value of circumference for we

multiply both side of equation a with .

therefore, length of required arc is

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we have to find how much is this as fraction of total  circumference of circle

fraction of circumference = value of arc length / total length of circumference

fraction of circumference =

Thus, the given arc is 1/3 of circumference of circle.

3/10

Step-by-step explanation:

The central angle of the arc is .

The circumference of an arc of a circle is given as:

where C= circumference of the circle

θ = central angle of the arc

Therefore, the circumference of the arc is:

The circumference of the arc will be 3/10 of the circumference of the circle.

Step-by-step explanation:

Length of an arc

If the central angle of the arc is

Length of an arc

Therefore:

Ratio of the length of the arc to the circumference

Therefore, the arc is of the circumference is this arc.

Arc Length is 1/4th of the circumference .

Step-by-step explanation:

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒

⇒

⇒

⇒

⇒

⇒

Therefore , Arc Length is 1/4th of the circumference .

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

The length of the arc = rθ

Given θ = 2π/3

Length of the arc L = r(2π)/3

L = 2πr/3... (2)

L = 1/3(2πr)

Since C = 2πr

L = 1/3C

This shows that the arc is one-third of the circumference.