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If an arc subtend angle of 75 what is angle subtended by it on remaining part of circle?
360 - 75 = 285
How do you find the area of an arc for an example S has an arc in it how do you find the area of an s that has an arc?
A central angle can subtend (form) an arc of a circle. That has an area of 2 x pi x r x (angle A) / 360.
What kind of arc lies between the acute central angle?
An acute central angle will subtend an acute arc, or one that is less than 1/4 of the whole circle.
The measure of a major arc is greater than 180?
A circle subtends 360° . Therefore. if the angle subtended at the centre of a circle by an arc is greater than 180° then this is the major arc. By comparison, the minor arc will subtend an angle less than 180°
How do you find the arc length with the angle given?
An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.
If the arc length of a sector in the unit circle is 3 radians what is the measure of the angle of the sector?
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
A unit for measuring an angle or an arc of a circle?
Radian = (180/pi)o
How can the radian measure of an angle determine the arc length on the unit circle?
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
Relationship between degree of measure of a central angle and the arc it intercepts?
Arc length is equal to radius times the angle the arc subtends (makes) at the centre of the circle, but the angle needs to be in radians. Set your calculator to radians instead of degrees, or, to change degrees to radians, divide by 180 and times pi. The formula comes from the fact that the length of the arc is proportional to the circumference of the circle in the same ratio as the angle at the centre is to the complete revolution at the centre, so length of arc: circumference of circle = angle size : 360o arc/(2*pi*r) = angle in degrees/360 or angle in radians/(2*pi) so arc length is angle in degrees divided by 360, times the circumference of the circle. Answer will be in the same measurement unit as the radius.
What is an adjacent arc?
it is an arc of an angle that is adjacent
An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
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.
