What do you call the uniform distance of any point on the unit circle from its center?

The radius is the exact distance from the center to any point on the circle.

What is the formula for uniform circular motion?

Therefore for an object to move along a circular path, there must be an acceleration that will always be perpendicular to the velocity. The circular motion may be uniform as well as non –uniform….a_{rad} = \frac{4{\pi}^2 R}{T^2}

a_{rad}	Radial acceleration
T	Time Period
V	Velocity
C	Circumference

What is the distance from the center of a circle?

The length or the distance from the center of the circle to anypoint on the circle is called radius. It is denoted by ‘r’ or ‘R’. What is the relation between radius and diameter of a circle? Radius is equal to half of the diameter of the circle. If the diameter is 10 cm, then radius will be equal to 5 cm.

What is the difference between diameter and radius of circle?

The fixed point is known as the center of the circle and distance between any point on the circle and its center is called the radius of a circle. The diameter of a circle is the length of the line starting from one point on a circle to another point and passing through the center of the circle. It is equal to twice the radius of the circle.

What does “choose two points randomly on the circumference of a circle”?

With that in mind, interpret “choose two points randomly on the circumference of a circle” to mean that the choices are uniform and independent. Being uniform means that the probability of choosing a point in an arc of the circle is proportional to the length of that arc.

What is the probability that the chord is longer than the radius?

So the probability that the chord is longer than the radius = Imagine a concentric circle drawn from the center of the circle with radius d = 0.866 (from prev sol). Then for the chord to be longer than “r” the midpoint of the chord must lie inside the concentric circle of radius “d”. So the probability that the chord is longer than the radius =