28 In the diagram below of circle O, secant ABC and tangent AD are drawn. 12.5 C

Q: A central angle θ is drawn in a circle of radius r, as in the figure below.   (a) The length of the…

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Q: Is GH tangent to circle Fin the diagram below? 41 40

A: The given diagram is:

Q: 2. Refer to the figure below. Point O is a center of the circle, and BC is a segment. Solve for the…

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Q: 1) Find area inside the circle r= 4cuse and to the right of line r = sece %3D

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Q: Find the length of the arc formed by x? = 10y³ from point A to point B, where A (0,0) and B = (100,…

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Q: AC is tangent to circle O at A. If mBY = 24 what is MYAC? (The figure is not drawn to scale.) A a 48…

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Q: Given circle Z with tangent lines XW and XY, what is the value of a? (10a)° (4a+10)° O 10 O42 O 4…

A: Given:

Q: In circle T with the measure of minor arc SU= 98°, find mZSVU. T V U S

A: Central angle = 2× inscribed angle, on same arc.

Q: 9. AC is tangent to circle O at A. If mBY = 35°, what is M¿YAC? (The figure is not drawn to scale.)…

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Q: AC is tangent to circle O at point C. What is the measure of ZO? A 38

A: Given that AB is a tangent to circle at O at point c To find The measure of <O.

Q: In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and…

A: The secant of a circle is a line segment that cuts the circle at two points. The tangent line of a…

Q: The circle below has center V, and its radius is 7 cm. Given that m ZWVX=150°, find the length of…

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Q: Determine the length of the arc on a circle a +y = 100 from z 3 to I=5 in the quadrant IV. %3D O 3.3…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 9. Consider the circle below. Part A: Determine moE. Part B: Determine mMY.

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Q: Consider the following. ? = 2.1,  d = 160 cm (a) Find the length of the arc that subtends the…

A: Given data: The central angle is θ=2.1. The diameter of circle is d = 160 cm.

Q: In the diagram, AB is tangent to the circle at point A, and BD intersects the circle at points C and…

A: The figure is given by To evaluate : The value of x

Q: 1. In circle A below, which of the following is not true? O EF is a chord CB is a tangent line BA is…

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Q: A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the…

A: Definition used -           Area of a sector of a circle =θ360(πr2)           Here θ is the angle…

Q: a) Consider the circle in Figure 1. What is the what is the length of the circular arc (in Metres)…

A: (a). As we know that the expression for the length of the circular arc is: Arc length=2πrθ360°…

Q: 13 ML and MN are tangent to the circle O below. What is the value of x if mZ0= 106° is given? 106 0

A: Angle in a quadrilateral add up to 360 .

Q: 25) Which line passes through the circle in two places? A) diameter C) secant B) tangent D) chord

A: Tangent to a circle is the defined as the line segment which touches the circle at only one point. A…

Q: 18) Evaluate 1 dz z(e: – 1) where I is the positively oriented unit circle, i.e., unit circle in…

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Q: Find the length s of the circular arc. (Assume r = 6 and 0 = 126°.) %3D % =

A: Radius of the circle, r=6 and θ=126°

Q: A denotes the area of the sector of a circle of radius r formed by the central angle 0. Find the…

A: Given data - radius of a circle (r) = 6 inches. The central angle (θ)= 135°. We have to find the…

Q: 23. Which measure shown on the circle below describes the intercepted arc length of the circle? 2.8…

A: We have to choose the correct option.

Q: 1. If a circle with center (r,9) in the second quadrant is tangent to the x- and y-axes, then, in…

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Q: 6. In the following diagram, O is the centre of the circle and (AT) is the tangent to the circle at…

A: AT is tangent to the circle at Tand OA= 12 cm and the circle radius 6 cm

Q: The center of a circle is at Q(0,6) a radius is drawn from Q to P(4,6) what are the coordinates of…

A: Below is the solution:-

Q: The circle below has center P, and its radius is 3 cm. Given that m ZQPR= 140°, find the length of…

A: We have to find the minor arc length.

Q: E Cl. 10 11 12 9. Which of the following is a chord but not a diameter of the attached circle? JK…

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Q: A circle having a radius of ? =1/2(3 + 2√2) ?? is cut into segments by a chord which is √2 ?? from…

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Q: 5. Consider the following measures shown in the diagram with the circle centered at point A.…

A: The length of an arc that subtends an angle of θ at the center is given by the expression l=rθ.…

Q: Determine whether the given arc is a minor arc, major arc, or a semi-circle of OE if CD and BG are…

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Q: 8. The distance between the centre of the circles, R and S, is 45 m. Each circle has a radius of 29…

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Q: 2. In the figure, AC is a diameter of the circle. PQ and PR are tangent to the circle at A and B,…

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Q: 1. Consider the circle below with radius given. 90 meters Part A: Determine the diameter of the…

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Q: 2. The center of the circle is Q. The radius of the circle is 18 in. What is the length of arc SP?…

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Q: II. Find the radius of the following circumscribed circle. 1. 2. 3. 15.1 18.7 25.5 20.3 20.3 22 15…

A: Find your answer below

Q: 5) Find the Area of the sector of the circle Reund your answer Substitute Into Ar

A: Given that:

Q: 4. Name the term for the parts of the given circle indicated by the followi a. PQ b. KQ с. Мо d. OP…

A: Since multiple parts are asked, I am answering first 3 subparts.

Q: b. Consider the following diagram including a circle with center Q and radius of length 4. Consider…

A: given,       radius of the circle OA=OC= 4

Q: ABC is a triangle and rB (respectively c) a circle passing through A and tangent to BC in B…

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Q: 3. In the circle below, the sum of which arcs is equivalent to arc CG? A C HO D G E arc CG = arc CF…

A: The solution is :

Q: 10. B Consider the following measures shown in the diagram with the circle centered at Point A.…

A: (10). As per our guidelines we are suppose to solve only first question. Kindly repost the other…

Q: 13. in the figure, PA and PB are tangents to the circle at A and B respectively. OP and AB intersect…

A: A detailed solution is given below

Q: 10. Determine the exact area of the shaded region given that the circle has a diameter of 6 inches…

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Q: s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the…

A: Given that s denotes the length of the arc of a circle of radius r subtended by the central angle θ.…

Q: 4) For the circle below, find both the arc length and sector area of the shaded region. Show all…

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Q: 1. AB is tangent to the circle at B. mZA = 27 and mBC = 114 (The figure is not drawn to scale.) B…

A: According to the diagram, we have

Q: 9. Consider a circle with centre O and a 1 cm-long radius. Let P be a point outside this circle. The…

A: We need to find distance between P and O.

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.