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If a circle of radius 2 is externally tangent to a circle of radius 8 what is the length of their common tangent?
Wiki User
∙ 14y ago
the length of thr direct common tangent will be 2*{1/2 power of (r1*r2)}
the answer will be 8 units in this case...
Wiki User
∙ 14y ago
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Theorem Length of tangent drawn from external point to a circle are equal?
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What is tangent line?
tan A = (sin A) / (cos A) tan (A)= opposite side length/adjacent side length A is an angle measurement; amount of degrees or radians. If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve. In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.
What angle is the ratio of the opposite leg length to the adjacent leg length?
Its Tangent, APEX "The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."
What is the length of tangent line from -2 3 to the point of contact with the circle x2 plus y2 plus 6x plus 10y minus 2 equals 0?
Equation of circle: x^2 +y^2 +6x +10y -2 = 0 Completing the squares: (x+3)^2 +(y+5)^2 = 36 Radius of circle: 6 Center of circle: (-3, -5) Distance from (-2, 3) to (-3, -5) is sq rt of 65 which is hypotenuse of a right triangle Using Pythagoras' theorem: square root of 65^2 -6^2 = 29 Therefore length of tangent line is the square root of 29 Note that the tangent line of any circle always meets its radius at right angles which is 90 degrees.
What is the length of an arc of a circle?
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
Theorem Length of tangent drawn from external point to a circle are equal?
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What theorems are there for concentric circles?
*If two pair of tangent of inner circle making angles on the circumference of outer circle then the angles so formed are equal . *Any two tangent of inner circle within the outer circle's circumference are equal in length .
What is tangent line?
tan A = (sin A) / (cos A) tan (A)= opposite side length/adjacent side length A is an angle measurement; amount of degrees or radians. If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve. In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.
A tangent segment and a secant segment are drawn to a circle from a point outside the circle. The length of the tangent segment is 15 inches. The external segment of the secant segment measures 5 inches. What is the measure of the internal secant segment?
Course Hero Question A tangent segment and a secant segment are drawn to a circle from a point outside the circle. The length of the tangent segment is 15 inches. The... Answer · 0 votes Length of interior part of secant = 40 inches Please see attached image for diagram with work shown Image transcriptions The tangent—secant theorem states that if a tangent and a secant are drawn from the same external point, the length of the tangent squared is equal to the external part of the secant multiplied by the whole segment. 15_ Let x = the length of the inner segment of the secant II'I ' Length whole secant = length interior of secant + length exterior of secant 5 in = x + 5 (tangent? = (length exterior) * (length whole secant) (15)2 = (5) * (x + 5) 225 = 5x + 25 200: 5x 40:): Measure of internal segment = 40 inches More
How do you find the length of a radius drawn from the center of the circle to a tangent?
It is the same length from the centre to any point on the circumference so just measure it
Formula for direct common tangent?
length of dct2=d2-(r1-r2)
What is the length of a tangent?
A tangent is a straight line and so has infinite length.
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
How is length of tangent formula calculated?
A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.
What is the length of the tangent?
A tangent is an infinitely long straight line.
What is the length of the tangent line from the coordinate of 9 0 to a point where it touches the circle of x2 plus 8x plus y2 -9 equals 0?
Circle equation: x^2 +8x +y^2 -9 = 0 Completing the square: (x+4)^2 +y^2 = 25 Center of circle: (-4, 0) Radius of circle: 5 Distance from (-4, 0) to (9, 0) = 13 which will be the hypotenuse of a right triangle Length of tangent line using Pythagoras; theorem: 13^2 -5^2 = 144 Therefore length of tangent line is the square root of 144 = 12 units
What is the length of the tangent line from the point 9 0 to the circle x2 plus 8x plus y2 -9 equals 0?
Equation of circle: x^2 +8x +y^2 -9 = 0 Completing the square: (x+4)^2 +y^2 = 25 Radius of circle: 5 Center of circle: (-4, 0) Distance from (9, 0) to (-4, 0) = 13 which is the hypotenuse of a right angle triangle Using Pythagoras: 13^2 -5^2 = 144 and its square root is 12 Therefore the length of the tangent line is 12 units Note that the tangent line of a circle meets the radius of the circle at right angles
