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How is pi in relation to a circle?
Pi is related to the area and the circumference of the circle. The area is Pi multiplied by the radius of the circle squared and the circumference is Pi times the diameter of the circle. if you're wondering how it works, pi is the area of a circle with radius of 1 (unit), and the circumference of a circle with a radius of ½ (unit).
How can the unit circle be used to apply trigonometric functions to all real numbers?
The basic idea is that a complete turn around the unit circle has a length of 2 x pi (i.e., approximately 6.28). For numbers larger than 2 x pi, you go that distance around the unit circle, moving around it more than once - and eventually end up on some point on the unit circle. For example, if you go a distance of 3 x pi around the unit circle, that is equivalent of a distance of pi (equal to 180 degrees). For negative numbers, you simply move around the unit circle in the opposite direction.
What s the formula for the area of a circle?
The formula for the area of a circle is πr2, or pi x radius^2 The radius of a circle is the diameter divided by two, and pi is approx. 3.1415926535
A line segment that connects the center of a circle to a point on the circle?
what about such a line segment? the length of such a segment is called the radius. the area of the circle is pi*the length of this segment squared the circumference is 2*pi*the length of this segment
Is the radius of a circle divided by the circumference of a circle pi?
No, the circumference of the circle divided by the diameter is pi.
How is pi in relation to a circle?
Pi is related to the area and the circumference of the circle. The area is Pi multiplied by the radius of the circle squared and the circumference is Pi times the diameter of the circle. if you're wondering how it works, pi is the area of a circle with radius of 1 (unit), and the circumference of a circle with a radius of ½ (unit).
What is a circumference of a unit circle?
2 pi
What is pi over 12 on a radian unit circle?
Pi over 12 on a radian unit circle is a little more than a quarter of the circle. Radian units are an alternative to degrees.
What is the circumference of a unit circle?
Since the radius of the unit circle is 1, the circumference is 2 x pi.
What are the x-intercepts of unit circle in sin?
all multiples of pi. pi, 2 pi, - pi, -2 pi and so on...
What is the meaning of radian system?
The radian system describes angles in terms of the diameter of a unit circle, i.e. where the radius is 1. If two lines intersect at the radius of a unit circle, the angle in radians between those two lines is the length of the arc along the diameter of the circle delimited by those two lines. The diameter of a unit circle is 2 pi. In the degree system, the angle of one quarter of the circle is 90, while the radians of that same angle is pi / 2. One radian is approximately 57.3 degrees.
What is the ratio of a circle's circumference called?
The ratio of a circle's circumference to its area is called the reciprocal of half the radius. The ratio of the circumference to its radius is called two times pi.
How can the unit circle be used to apply trigonometric functions to all real numbers?
The basic idea is that a complete turn around the unit circle has a length of 2 x pi (i.e., approximately 6.28). For numbers larger than 2 x pi, you go that distance around the unit circle, moving around it more than once - and eventually end up on some point on the unit circle. For example, if you go a distance of 3 x pi around the unit circle, that is equivalent of a distance of pi (equal to 180 degrees). For negative numbers, you simply move around the unit circle in the opposite direction.
What figure has an area exactly equal to pi?
The area of a circle is {pi} x radius2. 12 = 1, so: a circle of radius 1 unit has an area of exactly pi units2
What is the value of cosine at pi?
Looking at a unit circle, cosine is the horizontal coordinate. Pi radians is halfway around the circle (180°), so the coordinate is (-1,0). Cosine(pi) = -1
Is the circumference of a circle is two times the radius?
The circumference of a circle is 2*pi*radius or pi*diameter
What are the two formulae you can use to find the circumference of a circle?
Circumference of a circle = 2*pi*radius or pi*diameter
