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How to find length of arc if radius and angle subtended at the center are given?
Wiki User
∙ 14y ago
Full circumference of the circle = (2 pi) times (radius)
Arc is a fraction of the full circumference.
The fraction is (angle subtended at the center) divided by (360 degrees).
If you have the radius 'R' and the angle 'A', the length of the arc is
(pi) (R) (A) / 180
Wiki User
∙ 14y ago
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An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
A chord of a circle of radius 5cm subtends the length of 80 degree at the center of the circle find the length of the chord?
The length of a chord = pi*r*x/180 where x is the angle subtended. = pi*5*80/180 = 6.98 cm
How do you find radius when arc length is given?
Let us recall the formula for the circumference of a circle. That one is 2pi r. r is the radius of the circle and 2pi is the angle in radian measure subtended by the entire circle at the centre. If this is so, then any arc length 'l' will be equal to the product of the angle in radian measure subtended by the arc at the centre and the radius.So l = theta r. Say theta is the angle subtended by the arc at the centre.Therefrom, r = l / Theta.
How can you find the length of an arc with the radius known?
The length of the arc is r*theta where r is the radius and theta the angle subtended by the arc at the centre of the circle. If you do not know theta (or cannot derive it), you cannot find the length of the arc.
What is the difference between the measure of an arc and arc length?
They are normally the same. However, the measure of the arc could refer to the angle subtended at the centre of the radius of curvature.
How do you find radius of a circle if given arc length?
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
What is an arc central angle and radius of the circle?
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
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 relationship between the chord and the radius of circle?
The relationship between the chord and the radius of the circle is Length of the chord = 2r sin(c/2) where r = radius of the circle and c = angle subtended at the center by the chord
A wire of length 20cm is bent so as form arc of circle of radius 12cm what is the angle subtended at the center in radians is?
When the angle is measured in radians arc_length = angle x radius. So, 20cm = angle x 12cm => angle = 20cm / 12cm ~= 1.67 radians
Find the length of arc subtended by a central angle of 30 degrees in a circle of radius of 10 cm?
5.23
What is the angle subtended by an arc of a circle equal in length to the radius of that circle?
The answer does not match. It is called a Radianthat is used in Trigonometry, a special branch of mathematics which deals with study of triangles. "Tri" means three and "gono" means angle and "metry" means measure) . If there is an angle at the center of circle subtended by the arc whose length is equal to the radius, then the angle at the center is called 1 Radian.Extending the math out in order to determine the number of degrees in one radian, this is what we have. C = 2(pi)r; the length of the circumference is 2(pi) times the radius. This means that the number of radii in the circumference is 2(pi); there are 2(pi) radii in the circumference. There are 360 degrees in a circle, so the number of degrees in an angle subtended by an arc one radius long would be 360/2(pi), or about 57.3 degrees.
A chord of a circle of radius 5cm subtends the length of 80 degree at the center of the circle find the length of the chord?
The length of a chord = pi*r*x/180 where x is the angle subtended. = pi*5*80/180 = 6.98 cm
How do you find radius when arc length is given?
Let us recall the formula for the circumference of a circle. That one is 2pi r. r is the radius of the circle and 2pi is the angle in radian measure subtended by the entire circle at the centre. If this is so, then any arc length 'l' will be equal to the product of the angle in radian measure subtended by the arc at the centre and the radius.So l = theta r. Say theta is the angle subtended by the arc at the centre.Therefrom, r = l / Theta.
How can you find the length of an arc with the radius known?
The length of the arc is r*theta where r is the radius and theta the angle subtended by the arc at the centre of the circle. If you do not know theta (or cannot derive it), you cannot find the length of the arc.
What is the degree measure of an angle subtended by an arc whose length is 10 cm?
There is not enough information to answer the question. You need the radius (or diameter) of the circle.
When a body moves along a semicircle total angle subtended by it at centre of circle is?
Pie/2=22/7/2Angle in radians =Total length of the arc/radius of the circle
