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What is the angle subtended by an arc of a circle equal in length to the radius of that circle?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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How to find length of arc if radius and angle subtended at the center are given?
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5.23
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
What is an arc central angle and radius of the circle?
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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.
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.
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.
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?
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