The radius is 4.9 and the Circumference is 9.8π
Step-by-step explanation:
<u>Data:</u>
Diameter = 9.8
Circumference = ?
Radius = ?
<u>Radius</u>
Radius is half of the diameter so radius = 
Radius =
Radius = 4.9
<u>Circumference</u>
Circumference = 2πr
Circumference = 2π(4.9)
Circumference = 9.8π
Therefore, the radius is 4.9 and the Circumference is 9.8π
Keywords: Circumference
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Answer:

Step-by-step explanation:
We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:
, where a and b are the sides and C is the angle in between.
Let's substitute 115 for a, 178 for b, and 41 for Angle C.
Thus:




Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.