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What is the relation between the arc length and angle for a sector of a circle?
Wiki User
∙ 2008-11-17 00:00:48
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.
Wiki User
∙ 2008-11-17 00:00:48
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What is the area of a sector of a circle that has a diameter of 10 in If the length of the arc is 10 in?
it's 25 sq in
What is an angle whose vertex is at the center of a circle?
A central angle.The section of the circle formed by that angle and the part of the circle (the part being the circumference) between the radii is called a sector.
Area of a part of circle?
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
What geometric shape is a slice of pizza?
Sector of a circle or Circular sector or Circle sector or Disk sector. All are "two radii enclosed by an arc" like a slice of pizza! :)
What is a pie-shaped section of a circle?
sector
What is the relation between area of a sector and length of an arc of a circle?
There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.
How do you work out the area of a sector when given the length of the arc?
If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)
How to find a sector area in a circle if you have only the arc length?
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
What is the radius of a circle with a sector are of 662.89?
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
Find the area of a sector of a circle with radius 12 and arc length 10pi?
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.
How do you find the degrees sector of an circle?
It depends on what information you have: the radius and the area of the sector or the length of the arc.
What is the area of a of a sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches?
The area of the sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches is: 25 square inches.
What is the area of a sector of a circle that has a diameter of ten inches if the length of the arc is ten inches?
The area of a sector of a circle that has a diameter of ten inches if the length of the arc is ten inches is: 25 square units.
If the circumference of a circle is 75 in what is the length of the arc of a sector of 72 degrees in inches?
15 in
To find the area of a sector do you multiply the area of the circle by the measure of the arc determined by the sector?
No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.
What is the area of a sector of a circle that has a diameter of 10 in If the length of the arc is 10 in?
it's 25 sq in
What is the relationship between a track and a sector?
track is invisible cirle on hard disk and sector are the segments of these circle
