In the diagram below of circle O, chords AB and CD intersect at E. D 72 58 E If m4C = 72° and mZAEC = 58°, how many degrees are in mDB?

Q: In the following diagram DF and EF are chords in Circle O and DOE is a central angle. If the measure…

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Q: Question 3 In the diagram below of circle C, the measure of arc QT = 140° and the measure of ZP =…

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Q: 1. Sec. 1.1 Use the diagram below to find the value of the radius of the circle if AB = 4 and AD =…

A: As the given triangle has a right angle ADC, therefore the property of Pythagoras can be applied in…

Q: In the diagram below of circle O with diameter BC and radius OA, chord DC is parallel to chord BA. C…

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Q: If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central…

A: In a circle, an arc is some part of circumference of a circle. The angle subtended by an arc l at…

Q: 6. In circle O shown in the diagram below, chords AB and CD are parallel. If arc AB = 104 and arc CD…

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Q: The figure shows triangle KLM inscribed in circle P. If mZ PLM = 37°, find mZ LKM, in degrees. K M…

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Q: In the diagram A, B, CD, E are the points on the circumference of the circle with Centre O. AE and…

A: Given data:- ∠EBD=44°∠BDC=25°

Q: 11. In the diagram below of circle O, chord DF bisects chord BC at E. If BC 12 and FE is 5 more than…

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Q: Given triangle ABC, a=10, b=19 and c=14. Solve for angle A. A= (Round to the nearest WHOLE NUMBER…

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Q: 4 4. Find the measure of each arc or angle in OE. 60 A а. АВ c. DAB C 45° D. с. b. ZABC d. ZBCD

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Q: 6. In the diagram below of circle 0, chords AD and BC intersect at E, mAC = 87, and mBD - 35. What…

A: 6. Given E is the point of intersection of chords AD¯ and BC ,   mAC⏜ =87°   mBD⏜ =35°

Q: 14) B In the diagram above, sccant intersecto cirele O at D, secant intersecte circle O at E, AE =…

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Q: A right angled triangle ABC has sides AB-5, AC=3 and CB-4. If the right angle is at C, calc ulate…

A: A right angled triangle ABC has sides AB=5, AC-3 and CB=4. If the right angle is at C, Calculate Tan…

Q: In the accompanying diagram, PA is tangent to circle O and PBC is a secant. If PA = 4 and BC = 6,…

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Q: In the diagram of right triangle abc, cd intersects hypotenuse ab at d.  If ad = 4 and db = 6, which…

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Q: A right angled triangle ABC has sides AB=5, AC=3 and CB-4. If the right angle is at C, calc ulate…

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Q: In the diagram below of circle O, chords AD and BC intersect at E. D. B. Which relationship must be…

A: Given, A circle O, chords  AD¯  and BC¯ intersect at E.  We have to find the correct relationship…

Q: In Circle O, AOC is a diameter, ADB BC is a tangent. If the measure of arc DC is 3 less than twice…

A: Let the arc AD subtends by an angle θ and the arc DC subtends by an angle 180°-θ as sum of angles on…

Q: Consider a right triangle with side aa opposite angle A, side b opposite angle B, and side c, the…

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Q: Ruth makes a model of a horizontal sundial as shown. 12.5 in, 10 in What is the missing height? A.…

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Q: In the accompanying diagram, secant AB intersects circle O at D, secant AC intersects circle O at E,…

A: (3) Find AD if AE=4 , AC=24 , AB=16 (4) Find EC if AC=12 , BC=3 , DC=9

Q: In the diagram below, Circle O is inscribed in triangle ABC. If AE = 6, AB = 13 , and BC = 11, find…

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Q: In the diagram below of circle O, chords AB and CD intersect at E

A: The figure is given by To evaluate : The value of mDB⏜

Q: Consider the figure with circles R,C, and D below, where circle R and circle D are congruent. If RA…

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Q: In the figure, the side BC of AABC touches the circle. The sides AB and AC are produced to touch the…

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Q: In the figure below, points D, E, and F are the midpoints of the sides of AABC. Suppose AB=48,…

A: Given AB=48, BC=56, DE=32 Points D,E and F  are midpoints of sides of triangle ABC   To Evaluate…

Q: If mZABC = 32° and B is the midpoint of the major arc ABC, then find the measure of the arc AB. A a)…

A: Given,           Angle ABC = 32 degree

Q: In A ABC, the length of AB = 13 meters, AC = 15 meters, and BC = 12 meters. Find the measure of 4B…

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Q: 8) Find PR if PS=5. B) 1.73 D) 7 A) 4 C) 5

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Q: With solution thanks

A: We have to find cosB

Q: 10 In the accompanying diagram of circle 0, chord CD bisects chord AB at E, CE = 2, and AB = 8. Find…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: 2. The figure below shows circle O with diameters AC and BD. If m 21 = 40°, find each of the…

A: Formula: Arc length=2πrc360 Where c is central angle in degrees and r is radius.

Q: A. In circle C, AG and DB are diameters, CH bisects ZACB, and MLACH = 15. Find the measure of each…

A: Formula : Angle of a straight line is 180° And measure of  Arc of circle = angle of arc with Respect…

Q: In the figure below, points D, E, and F are the midpoints of the sides of AA BC. Suppose DF=34,…

A: It is given that,D,E and F are the midpoint of the sides of △ABC. Also,given that DF=34,AC=48 and…

Q: 9. Lines AE and BD are tangent to circles O and P at A, E, B, and D, as shown in the diagram below.…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: To measure the distance through a mountain for a proposed A tunnel, a point C is chosen that can be…

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Q: In AOPQ, the measure of ZQ=90°, PQ = 3.6 feet, and OP = 9.1 feet. Find the measure of ZP to the…

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Q: In the circle shown, chords FD and CG intersect at E. If CE=6, EG=4, and FE=12, show that ED=2. C E…

A: Find your answer below

Q: In circle P, AB= 24, DP=5. Find: DC and mZDPB. Round the angle measure to the whole degree. A, C P.

A: AB=24 , DP=5

Q: In the circle shown, chords AC and BD intersect at E. If AE = 8, EC = 6, and BE 4. How long is DE? =…

A: Topic = Circle

Q: In circle A below, chord BC and diameter DAE intersect at F. If m arc CD-46° and m arc DB÷102°, what…

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Q: In AMNO, the measure of ZO=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ZM to the…

A: We have to find angle M

Q: 5. In the diagram below of circle O, chords AB and intersect at E. CD If CE = 10, ED = 6 and AE = 4,…

A: According to intersecting Chord TheoremAE x EB = CE x ED

Q: 12. In the diagram of circle O below, chord AB intersects chord CD at E, DE 2x+8, EC 3, AE = 4x–3,…

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Q: In the figure below, points D, E, and F are the midpoints of the sides of AABC. Suppose DF= 34,…

A: Given  DF = 34    AC = 48    BC = 78 We know that the line joining the mid points of the two sides…

Q: In the figure below, points D, E, and F are the midpoints of the sides of AABC. Suppose DF=34,…

A: Given:-DF = 34, AC = 48 & BC = 78 We have to find DE, AB & BE

Q: In the figure, A, B and C are 3 points on the circumference of the circle such that AB BC and…

A: ∠BAC=40° , AB⏜=BC⏜ and AD is diameter as shown in figure: We have to find (1) ∠CAD (2) ∠CED

Q: Using Circle C, find the kind of angle and arc shown. 45. A B G FCD is a O angle. - FGD is a O…

A: Solve it by Theorem: The angle subtended by an arc of a circle at its center is twice the angle it…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = and DC = 72, what is the…

A: NOTE: Refresh your page if you can't see any equations. . here we have  CD=72 BD=24 here BD is the…

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.