The angular velocity of a point with radius 8 feet is 10 pi radians per second. find the speed of the point.
0.8pi ft/sec
1.25pi ft/sec
80pi ft/sec

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity =

10π =

Speed = 80π feet/ second.

Option C is the answer.

Step-by-step explanation:

Formula :   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = radians per second.

Then, the speed of the point will be :-

  [using (1)]

Hence, the speed of the point

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a