In a circle, if a diameter bisects a chord (that is not a diameter), then: a. it is a secant c. it is perpendicular to the chord

Q: Given circle Z with tangents XW and XY, what is measure of arc WVY

A: We need to find measure of the arc WVY. We shall use the relation between Circles and angle between…

Q: TO CLASS At 9:30 AM, Alexandra is 440 yards away from class and is walking 4 miles hour towards…

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Q: Given concentric circles with center O, AABC is inscribed in the larger circle as shown. If BC is…

A: Consider the given figure as

Q: ely 10 cm and 8 cm distance between th A

A: given length of common chords is 12cm AB=12cm radius of the circle with centre O is OA=10cm radius…

Q: 8. Use the figure to identify the arc as minor, semi-circle, or major. AB : Minor GCD: DFA: EF: ÁCD:…

A: Solution:

Q: speed of the car. (Hint: Speed = Slope of distance-time graph) %3D Distance (miles) 180 360 540 720…

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Q: Given tangents DB & AB in circle C, find length of DB B 6.

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Q: ABCD is a square with side s. Three similar circles is inscribed in it with ED and FD is the common…

A: We use the Pythagorean theorem to find the length of the tangent from the common point to each of…

Q: In an acute angled triangle AABC, BD, CEare heights. If the line DE intersects the circumcircle of…

A: To prove: ∠APQ = ∠AQP i.e. ∠4 = ∠5.   Construction: Draw CE⊥AB          (CE is an altitude)Draw…

Q: suppose a =160 a) find supplement of a  b) find two negative angles coterminal with a C) what is the…

A: a) If the sum of two angles is 180 degree then they are called supplementary angles. So the…

Q: A sector of a circle of radius 10 cm has an area of 50 m². Find the central angle of the sector in…

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Q: Use circle Q to find the following. (show work for #16) A 15. ZACB = QB = 5 AC = 6 BC = x 16. x=.

A: Given  QB=5AC=6BC=x

Q: In the figure below, CF and CD are tangent to the circle centered at O. The segment FD passes…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.