An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

where is the central angle in radians subtended by arc

is the length of arc

is the radius of arc

We are Given the following details:

We know that

Converting to radians:

radians

Putting the values of and to find the value of

Hence, Radius of the circle is 15 inches.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x