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

Q: In the figure, PA and PB are tangent to circle O and PD bisects ZBPA. The figure is not drawn to…

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Q: In the accompanying diagram, CD is tangent to circle O at B. AO and BO are radii, and chord AB is…

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Q: 2 D Segments AB and BC are both tangent to circle D. If ZADC has a measure of 132°, find mZABC.

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Q: 5 In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 2, CD=9, and CE…

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Q: 3) If MZAOC= 60°, what is the measure of A) minor arc AC B) LABC B.

A: Use the properties of triangle and formula for arc length.

Q: In the accompanying diagram of circle O, chords AB and CD intersect at E, AE-5, CD - 18, and ED 8.…

A: The intersecting chord theorem states that if two chords AB and CD of a circle intersects each other…

Q: In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE 3, EB = 4, CE = x,…

A: Given AE=3,EB=4,CE=x and ED=x+1

Q: In circle P with mZNPQ = 54, find the MZNRQ. R P N Q

A: Given that      In circle P with m∠NPQ = 54. Here we have to find ∠NRQ.

Q: 7. In the accompanying figure of circle 0, chords AB and CD intersect at E and AD is a diameter. If…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: In the accompanying diagram of circle O, secant CBA and CED intersect at C. If AC = 12, BC = 3, and…

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

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: 2) Construct the Circumscribed circle of the triangle below. Show all arcs and steps, and place all…

A: Topic:- geometry

Q: In circle Q with mZPSR= 31, find the mZPQR. P R S Answer: Submit Answer attempt 1 out of 2

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Q: the following diagram shows the chord [AB] in a circle of radius 8cm, where AB =12cm. find the…

A: This question can be solved using the concept of area of sector and segment.

Q: 1 In the accompanying diagram of a circle, chords AB and CD intersect at E, CE = 5, CD = 13, and AE…

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Q: n the accompanying diagram, AABC is inscribed in circle O mZE=20° and mAB : mb Find mBC and mFD. A…

A: given m AB^:m BC^=3:2 sum of arc lengths  in semicircle is supplementary.  m AB^+m…

Q: 3. Given: In circle Q, PR contains Q, MR is a tangent, mMP = 112°, mMN = 60°, and mMT = 46° M Find:…

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Q: 2 In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 4, EB = 6, and…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. In the diagram of circle O below, chord CD is parallel to diameter AOB and mAC = 30. What is mCD?

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The circle shown below has chords XY, XZ, and YZ, with XY XZ, The measure of XY is 130°, as shown.…

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

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Q: Consider the diagram below. 10 A 4 3 2 P 10 -9 -8 --6 -5 -4 -3 -2 -1 1 2 3 4 8 9 -2 -3 -4 -5 9- -7…

A: Given,

Q: 4. If circles G and E are congruent, what can you conclude about OG and OE? K E

A: Since the given two circles are congruent  Congruent circles are defined as the circles that have…

Q: 2. In the sketch O is the centre of the circle and AOB is a diameter. Therefore are ACB is a below.:…

A: Since you have posted more than 1 questions here, i can answer only 1 here. Please repost other…

Q: AB is tangent to Circle O. If AO = 24 and BC = 50, what is AB? 6. A

A:

Q: In the accompanying diagram of circle O, PA is tangent to the circle at A; PDC is a secant; diameter…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: In the sketch O is the centre of the circle and C and D are angies in segment AB of the circle (or.…

A: Given  Circle with center O. And ∠C and ∠D are anɡles subtended by same chord AB To prove that ∠C =…

Q: 11. In the diagram of circle O shown below, chords AC and BD intersect at E so that mZDEC = 42° . If…

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Q: In circle T with mZSVU = 41, find the %3| MZSTU. V S T

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Q: In the accompanying diagram, PAB and PCD are secants drawn to circle 0, PA = 8, PB = 20, and PD =…

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Q: nying diagram of Circle O, secant ADP, secant CBP and chörd AC afe dra CD intersects at point E. OB…

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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: Circle O and circle Pare congruent. Given AB = DE what can you conclude from the diagram? B P A ZBOA…

A: Two circle are congruent if both have same size. Size can refer to radius, diameter, circumference,…

Q: 5. Given line LM tangent to Circle C at point L, write an expression to represent the measure of arc…

A: It is given that ∠JKL=a and ∠KLM=b.

Q: 7In the accompanying diagram of circle O, chords AB and CD intersect at E, AE = 5, CD = 18, and ED =…

A: Given- AE = 5 CD = 18 ED = 8 To do- Find the length of side EB

Q: 9. In the diagram of circle 0, diameter AB is parallel to chord CD. If mAC = x+ 9 and mBD = 4x – 12,…

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Q: In the accompanying diagram of circle 0, chords AB and CD intersect at E. If AE = 4, EB = 9, and CE…

A: We’ll answer the 6th question since we answer only one question at a time. Please submit a new…

Q: The circle below has center O, and its radius is 5 in. Glven that mZAOB=30°, find the length of the…

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Q: In 8 and 9, diameter DOE 1 chord AB at F, AOC is a diameter, and BC is a chord of circle O. I 8. If…

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Q: 8) In the diagram below of circle O, chord DF Bisects chord BC at E. If BC = 12 and FE is 5 more…

A: For two intersecting chords in a circle, we have following theorem, For two chords, as shown below,…

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

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Q: Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove…

A: Given : ∠BAC = ∠DAE

Q: In the accompanying diagram of circle O, AB and BC are chords and m<AOC = 96. What is In the…

A: We solve the problem by calculating angles.

Q: I In the accompanying diagram of a circle, chords AB and CD intersect at E, CE = 5, CD = 13, and AE…

A: Answer 1:  Given : AB and CD are the chords of the circle and   point E be the point of…

Q: 14. In the accompanying diagram, PC is tangent to circle O, PBA is a secant, if AB = 12 and BP = 3…

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Q: 4 In the accompanying diagram of circele 0, chords AB and CF intersect at E. If EB = 16, AE = 5, and…

A: Given: (4) (5) To Find:

Q: 3. If the distance of point C from the center of the circle is 17 cm and BC =15 cm, find the…

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Q: the figure QRS is a line,PSQ is 35°,SPR=33°and O is the center of the circle. Find OQP

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Q: 7. In the diagram below of circle O with diameter BC and radius OA, chord DC is parallel to chord…

A: As given BA∥CD, then the interior angle made by the intersecting line BC with the parallel lines BA…

Q: 6. In the accompanying diagram of circle O, diameter AOB is extended through B to external point P,…

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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.