OD and OE are congruent. GH is a chord of both circles. H. If DE = 10 in. and GH 4 in., what is the length of the radiu-

Q: Given Circle 0, AB is congruent to CD, OF = 4x +9, OE = 29. Solve for x.

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Q: Find the perimeter of A ABC if AB, BC, and CA are tangents to the circle. B 17 in D E 23 in 15 in 41

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Q: In the accompanying diagram, BĎ is tangent to circle o at B, BC is a chord, and BOA is a diameter.…

A: We can solve it by following method.

Q: In the figure alongside, two chords PQ and RS of a circle with centre O are produced to meet at T.…

A: Since, we have been given that two chords PQ and RS of a circle withcentre O are produced to meet…

Q: OA and OB are congruent. CD is a chord of both circles. If a radius is 13 ft and CD =24 ft, how long…

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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: 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: AB is tangent to Circle O. If AO = 24 and BC = 50, what is AB? 4. %3D %3D A

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Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale). JA = 9 cm, AL = 10 cm, and CK =…

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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: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: according to our guidelines we can answer only  first question and rest can be reposted.

Q: Given C is the unit circle |z =1, then z dz = IN

A: We use definition

Q: A circle has two chords AB and CD intersecting at E. If CE = 6, ED = 10, and BE = 4, %3D %3D…

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Q: Given central point C of the circle with AC = 7 that is a bisector of %3D BH, calculate HJ when CJ…

A: We have to find HJ.

Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale). JA = 7 cm, AL = 6 cm, and CK = 9cm.…

A: Perimeter of triangle

Q: Assume D, E, and F are tangent to Circle O. Find the perimeter of the triangle. 3 4 A 10

A: Given from the given figure

Q: see attached

A: Using the property of adjucent sides are equal

Q: If a sector of a circle has arc measure 120°, then its area equals one-third the area of the circle.…

A: Solution is below

Q: In a triangle with sides of lengths a, b, and e and semiperimeter s, show that the length of the…

A: Solution: Consider the given triangle and rheir sides a, b, and c also let semiperimeter s then we…

Q: Given:  D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: Given: DC is tangent to circles B and A at points D and C, respectively AC · ED Prove: = CE·BD E PA

A: The triangles ACE and BDE are similar, because: angle D = angle C = 90 degrees

Q: In the figure below, the segments WX and WY are tangent to the circle centered at O. Given that…

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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: A• В D

A: Circles

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…

A: We will proceed as follows

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: Explanation of the answer is as follows

Q: BC is a common tangent segment of circles A and D. E. E 9. If AB= 6 cm, DC = 3 cm, and AD =12 cm,…

A: 9) Given:           AB=6 cmDC=3cmAD=12cmLet: ED=x cmSo, AE=AD-ED=12-x cm BC is tangent to both…

Q: In the accompanying diagram, BA is tangent to circle O at A. Radii OA and OC are drawn, and OC is…

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Q: OD and OE are congruent GH is a chord of both circles G E H. If DE = 10 in. and GH = 4 in., what is…

A: topic- circles

Q: In circle K with mZJML = 23°, find the angle measure of minor arc JL M L K. J

A: Given :                m∠JML = 23° To find :               The angle measure of minor arc JL⏜

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: ⊙D and ⊙E are congruent. GH is a chord of both circles. If DE = 10 in. and GH = 4 in., what…

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Q: The circle below has center O, and its radius is 4 yd. Given that m ZAOB=60°, find the length of the…

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Q: Given the figure, AF is tangent to circle E, secant AD passes through the center, mCD = 50, M2CAD =…

A: Given: CD ⇀= 50,  DF⇀= 110 ,                        ∠CAD= 15, and ∠AED…

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: 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: Find the radius of the congruent circles. Round to the nearest hundredth. C. A• B D CD = 12 and AB =…

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Q: Given a sector length of 1 and a chord length of 20, the radius of the circle will be?

A: Given,  Sector length (depicted in figure) = 1unit Chord length = 20  unit Radius of circle = ?…

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…

A: Here we will find measure of arc DC,

Q: two secants are drawn to a circle from 25.5, EX= 34, and E Y= 51. Finc

A: We have to find the following conditions according to the given information

Q: In Circle O, ACOC 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: Find the exact length of the are intercepted by a central angle of 0 on a circle of radius r. b) 0 =…

A: Given, Central angle = θ = 220°  Radius of circle = r = 6 cm  We have to find the length of the arc.…

Q: Given circle G with radii GI, GH, and GJ and chords KI and HJ, KI || HJ. Name an angle that has the…

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Q: In circle O, the chords AB and CD are congruent. If arc AB=(2x+13)° and arc CD=(3x-2)°, show that…

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Q: AB is tangent to circle C. If AC = 5, and AB = 12, what is the length of BC %3D %3D 12 17 B 30 13 It…

A: We are given the following. So, ABC is a right-angle triangle. Now, we need to find BC.

Q: A B

A: Given that  Secants AC and DC intersect the circle at B and respectively  If AB = 13 , BC = 5 and CD…

Q: Given circle T, and tangents AD and CD, what is the measure of ZADC?

A: The given quadrilateral is a cyclic quadrilateral.so we can apply it's property to solve the problem

Q: Given a sector length of 1 and a chord length of 2, the radius of the circle (controlled by the…

A: Given- A sector length and chord length is 1 and 2 unit respectively , and the figure is To find-…

Q: 13 In circle 0, chords AB and CD intersect at E. If AE = 8, EB = 6, and ED = 12, find the length of…

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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.