Circles and coordinate circles
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Transcript of Circles and coordinate circles
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CirclesSelected questions:
CirclesA closed plane whose every point is equidistant from a point within the curve.Answer: circle
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CirclesThe given point described in the definition of the circle.Answer: center
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CirclesThe length around a circle.Answer: circumference
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CirclesA chord passing through the center of the circle.Answer: diameter
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CirclesA segment whose endpoints are points on the circle.Answer: chord
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CirclesA line which intersects the circle at exactly one point.Answer: tangent line
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CirclesA line which intersects the circle at two points.Answer: secant line
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CirclesThe set of all points whose distance from the center is less than the radius.Answer: interior of the circle
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CirclesThe set of all points/ whose distance from the center is greater than the radius.Answer: exterior of the circle
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CirclesIt is an angle in the circle whose vertex is the center of the circle.Answer: central angle
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CirclesAn arc with a measure of 180 is aAnswer: semicircle
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CirclesAn inscribed angle of a circle measures 45. What is the measure of itsintercepted arc?Answer: 90
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CirclesWhich of the following ordered pairs is a point of the circle with equation x2 + y2 = 45? a. ( -5,5)b.(3,-6)Answer: b. ( 3, -6 )
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CirclesThe measure of the central angle of a regular nonagon is.Answer: 40
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CirclesThe measure of a central angle of a circle is equal to the measure of its intercepted arc.Answer: The Central Angle-Intercepted Arc Postulate
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CirclesThe measure of an inscribed angle is one-half the measure of its intercepted arc.Answer: The Inscribed Angle Theorem
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CirclesTwo or more angles inscribed in the same arc are congruent.Answer: The inscribed Angles in the same Arc Theorem
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CirclesWhat is the distance between the points (-2, 5) and (4, -3)?Answer: 10
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CirclesWhat is the distance between the points (3, -7) and (6, 2)?Answer:
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Circles(-3, 2) and (12, 10) are points on opposite ends of the diameter of a circle.What is the radius of the circle?Answer: 8.5
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CirclesThe distance between the points (-2, y) and (3, -7) is 13 units.What are the possible values for y?Answer: y = -19 or 5
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CirclesThe coordinates of the right-angled triangle ABC are: A = (1,2), B = (3,6) and C = (7,4). What is the length of the hypotenuse of the triangle?Answer:
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CirclesWhat is the midpoint of the straight line segment joining the points (-2, 5) and(6, -1)?Answer: (2, 2)
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CirclesWhat is the midpoint of AB?Answer:
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CirclesWhat is the midpoint of the straight line segment joining the points (3, -6) and (-4, -3)?Answer:
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CirclesWhat is the midpoint of the straight line segment joining the points (-2, 9) and (3, -2)?Answer:
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Circles What is the midpoint of BC?
Answer:
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CirclesAnswer:
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CirclesAnswer: 17
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CirclesAnswer: 26
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Circles
Answer: 85
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Circles
Answer: 26
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CirclesAnswer: 12
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CirclesAnswer: 6
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CirclesThe radius of a circle is 20. Find the length of the arc whose measure is 45o.Answer: 5
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CirclesWhat is the center of a circle with equation of x2 +(y+7)2=25 ?Answer: (0, -7)
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CirclesWhat is the equation of the circle whose center is ( -4, -3 ) and passing through the origin ?Answer: (x + 4)2 +(y + 3)2 = 25
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CirclesFind the perimeter of a triangle whose vertices are at the given points A(0,-4), B(3,0), C(0,0).Answer: 12 units
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CirclesFind the area of a triangle whose vertices are at the given pointsA(0,-4), B(3,0), C(0,0).Answer: 6 units
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CirclesDraw a triangle with vertices A(0,-4), B(3,0), C(0,0). What kind of triangle it is?Answer: right triangle
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CirclesIf A is a the midpoint MN , determine the coordinates of A if the coordinates of the endpoints are M(-4,-3) and N(4,3).Answer: (0,0)
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End Thankyou!t: @Reylkastroig: @reylkastrohttp://www.slideshare.net/reycastro1
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