iCoachMath.com: Examples on Inscribed Angles - Circles

Curriculum: Alabama Course of Study Click to change Curriculum

Topic: Circles Click to change Topic

Lesson: 5: Inscribed Angles Click to change Lesson

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c Prove that Measure of Arc AC is twice the measure of ∠ABC c

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c In circle with center O, the arc intercepted by ∠ABC is _______.
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c Find the value of x . c

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c Identify the appropriate relation among x, y & z from the figure. c

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c The circle with center O is circumscribed about quadrilateral ________. c

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c Prove that Measure of Arc AC is twice the measure of ∠ABC c

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c Find m∠ACB in circle shown. c

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c In circle with center O, x equals ______. c

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c Find the value of x. c

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c Find ∠CAB using the figure shown. c

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c In fig. Find m(Arc DE).
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c Use the figure to find ∠SRQ . c

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c In the given figure, O is the center of the circle. What is m∠QPR, if m∠OQR = 18?
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c A, B, C are three points on a circle such that ∠ACB = 90^o. Then line segment AB¯ is the c

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c In fig.Find m Arc BE? c

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c In fig.Find the value of x.
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c Find the value of x where O is the center of the circle. c

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c Find ∠CBD. c

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c Find ∠ACB.
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c If central angle is 65°, what is the measure of the major arc whose end points are at the intersection of the central angle and the circle.
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c Find m∠ABC.
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c Find (x + y). c

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c In the circle with center O, m∠ABD equals
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c In the circle with center O, (x - y) equals ______. c

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c In fig. Find m(Arc AB). c

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c In the circle with center O, ABCD is a cyclic quadrilateral, with AB¯ parallel to DC¯. (x + y) equals ____. c

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c Use the figure to find x, given AB¯ || DC¯. c

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c In the circle with center O, PT¯ is a tangent at M. ∠MQR equals _____. c

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c In the circle with center O, QR↔ is the tangent at P. ∠MPQ + ∠NPR equals _____.
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c In the circle with center O, DK↔ is the tangent at C. Find ∠BCK.
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c In the circle with center O, DP↔ is the tangent at C. Find ∠ACD.
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c In the circle with center O, DK↔ is the tangent at C. ∠BCK = ? c

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c In the given figure, O is the center of the circle. What is m∠QPR, if m∠OQR = 26?
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c A circular wire of diameter 132 cm is cut and placed along the circumference of a circle of radius 1.43 meter. The angle subtended by the wire at the center of the circle is ________
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c A regular hexagon is inscribed in a circle. What is the measure of ∠AOC?
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