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How do you draw an arc with a given length and known radius?
The length of an arc equals he angle (in radians) times the radius. Divide the length by the radius, and that gives you the ange. Measure out the angle on a protractor and draw the length of the radius at the begining and end of the angle. Then draw theportion of the circle with its center at the location ofthe angle and extending out to the radius.
How is curved surface area related to cylinder?
If cylinder radius and cylinder length are known : (pi = 3.141592654 . . . ) > Surface area = ( (2 * pi * radius) * length )
What is the relationship of the arc length radius and angle?
When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees
Find chord length with radius and arc length known?
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
How can I calculate cord length using arc length and radius?
r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2
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.
Equation for the diameter of a circle?
It depends on what other information you have: area, circumference, radius, length of arc subtending a known angle, measure of angle for a known arc length etc.
Line touches a point on the circumference of the circle?
When a line touches a point on the circumference of a circle, it is referred to as a tangent. A tangent to a circle is a straight line that intersects the circle at exactly one point, known as the point of tangency. At this point, the tangent is perpendicular to the radius drawn to the point of tangency. This unique relationship defines the geometric properties of tangents in relation to circles.
What The of an angle is the ratio of the opposite leg length to the adjacent leg length.?
The ratio of the opposite leg length to the adjacent leg length of an angle is known as the tangent of that angle. In trigonometric terms, for a right triangle, if θ is the angle, then tangent (tan θ) is defined as tan θ = opposite/adjacent. This relationship is fundamental in trigonometry and is used in various applications, including solving triangles and modeling periodic phenomena.
What is the arc tangent of pi over two?
The arc tangent is the recicple of the tangent which is also known as the cotangent. The tangent of π/2 is undefined, thus the cotangent would be zero.
What is a circle with a tangent line?
A circle with a tangent line is a geometric configuration where a straight line touches the circle at exactly one point, known as the point of tangency. At this point, the tangent line is perpendicular to the radius of the circle that extends to that point. This relationship highlights the unique property of tangents, as they do not intersect the circle at any other point. Tangent lines are important in various applications, including calculus and physics, as they represent instantaneous rates of change.
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
