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What angle measures 58 degrees?
The obvious answer is 58 degrees. It is very close to one radian (57.3 degrees), which is an angle such that the length of the arc that it subtends is the same as the radius.
How does one calculate arc length when given the radius and angle measure in degrees?
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
How many degrees are there in one radian?
One radian is about 57.3 degrees
How many degrees in one ninth of a circle?
40 degrees.
How many degrees is one fourth of a circle?
One fourth of a circle is 90 degrees.
Is it possible for an arc with a central angle of 30 degrees in one circle to have a greater arc length than an arc with a central angle of 150 degrees in another circle?
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
What is the conversion of Time Units and Arc Units?
Arc units are measured in Degrees with seconds. A conversion to Time would be: 0 min 4 seconds = 0 degrees 1 second 0 min 4 sec = 0o 01' Simplified then would be for every 4 seconds of time you would gain one second of a degree of arc.
How many radians is in one second?
To convert from degrees to radians, you need to multiply by pi/180. Since one arc-second is equal to 1/3600 of a degree, the conversion factor in this case is pi/180/3600.
How Many arc-seconds equal one degree?
The two units are not compatible. A light year is a measure of distance. An arcsecond is a measure of arc or angle. To convert arc to length, you must first know the distance to what you are measuring.
How many degrees does the second hand on a clock travel when it moves through one second?
6 degrees. There are 360 degrees in a full circle, and therefore for every second the hand moves through one sixtieth of a circle.
What is the arc in a circle that is 90 degrees?
To find the arc length, you also need to know the radius (or diameter) of the arc. The arc length is then found by finding the circumference of the full circle (2xPIxradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).
What is arc time?
there are 60 seconds in one minute. An arc minute is 1/60 degree and an arc second is 1/3600 degree
How many degrees the second hand moves in one revolution?
360
Sine of 1 minute of arc?
1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.
What is forty-five degrees in shortened form?
One eighth of a full arc.
Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
