An intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

The length of an arc is the distance between the endpoints of the arc.

The central angle is: or

The given parameters are:

--- length of the arc

-- radius of the circle

The length of an arc is calculated as:

Divide both sides by r

Substitute known values

Convert to degrees as follows:

Hence, the central angle is: or

Read more about length of arcs at:

link

19*4=76

Step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: