5. BC is tangent to OA at point B in the diagram below. What is the length of BC ? 20 B

Q: (4) In Figure 13, ABCD is a trapezium with AD/BC and AD-BC-3:4. Mis the mid-point of BC. A and BD…

A: AD || BC AD : BC= 3:4 Area triangle BNM=8 cm square

Q: 5. In the diagram below, AB is tangent to circle C at point D and AC 1 BC. If mLA= 28° then which of…

A: The sum of 3 angles in a triangle is equal to 180 degree.

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

A:

Q: 4.) Which of the following illustrates circle H with radius segment C H and diameter segment CA ?

A:

Q: 1. 2. All lines that appear to be tangent are tangent. What is the perimeter of the polygon? FT is…

A: Radius and tangent are perpendicular.

Q: 19.6 in 15.2 in If YZ is a tangent, then according to Pythagorean Theorem, the length of XZ should…

A: We have to calculate whether the YZ is tangent to X or not.

Q: 6. EC is tangent to circle O. ABis a diameter. If mDB = 47°, find mAD, ZECD %3D B.

A:

Q: 2. Use a ruler to measure the dimensions of he triangle shown to the nearest 0.5 entimeter. Vhich of…

A:

Q: We can say for certain that point B is what kind of point on segment AC?

A: To , Determine what kind of point B is:

Q: **#1.) In the diagram above of circle A, FB and FC are tangent to circle A at B and C respectively.…

A: Please rate and feel free to ask any query about any part of the question,

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: AB is the common chord of o0 and oQ. A If AB = 18 and each circle has a radius of length 15, how…

A:

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: D A E 24 In the figure, AC is bisected by BD If BC = 10, then what is the length of RD?

A: Let's find value of BD.

Q: 11. JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 8, AL =…

A:

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: 15. If QC is tangent to circle O and QC = 8 and BC = 4, then the length of OB is _?_ %3D 8 B 4 A 6…

A:

Q: In ASTU, u of a centimeter. 220 cm, ZT=145° and ZU=18°. Find the length of s, to the nearest 1oth…

A:

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

A:

Q: 8. If J is the midpoint of segment HK what is the value of HK? * H 9x-2 4x+13 K

A: Since J is the midpoint of JK HJ=JK 9X-2=4x+13 5x=15 x=3

Q: In AGHI, Gl is extended through point I to point J, mZIGH = (x + 16)°, mZHIJ = (4x – 12)°, anc m/GHI…

A: The explanation of the solution as follows:

Q: In AUVW, the measure of ZW=90°, UW = 35, VŨ = 37, and WV = 12. What is the value of the tangent of…

A: Given Information - In ∆UVW,∠W = 90°UW = 35, VU = 37 and WV = 12 We have to find the tangent of ∠U.

Q: 3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of…

A: Given

Q: Show that the point is on the unit circle. 5 2 V6 7' 7

A:

Q: 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in…

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

Q: 3. TB and TC are tangents to circle O. a. If LTIS 35°, find LCOB, BC and CDB b. If CDB is twice BC,…

A: 1.     angles between radius and tangents is a right angle. 2.     Arc angle property         The…

Q: 16. NP, PM and NM are midsegments of triangle SRQ RQ = 30cm and NM= 18. What is the length SQ? 15 9.…

A: Observing from given figure and applying midsegment rule we have

Q: If PQ is tangent to circle R at point Q, and PS is tangent to OR at point S, what is the perimeter…

A: Option B is the correct choice. Consider the illustrative figure below. From the figure,…

Q: 6. The distance between the centres of the circles, A and B, is 60 m. Each circle has a radius of 40…

A:

Q: 2. JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale If JA = 14, AL =…

A:

Q: If QC is tangent to circle O and QC = 8 and BC = 4, then the length of OB is ?_ 8

A: Angle on tangenT is always a right angle. so, ∠OQC=90° let OQ=x , also OB=x . because both are…

Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

A:

Q: 7.8 17.8

A:

Q: 1. What is the radius of a circle if its center is (-3,-2) and one point on the circle is (5,-2)? O…

A:

Q: 11. Find the length of the radius BC ao

A: It is not clear in the figure that if the perpendicular is 6 or 9 hence answering by cases taking…

Q: In circle O, PA and PB are tangent segments from point P. A P 1. If OA=6 cm and 2. If OP =13 cm and…

A:

Q: c) Two poles, one 6 m tall and one 15 m tall, are 20 m apart. Alength of wire is attached to the top…

A:

Q: 3. In the diagram below of APAO, AP is tangent to circle O at point A, OB = 7, and BP = 18. What is…

A: To find length of the side AP=?

Q: Find the length of the darkened arc. Leave your answer in terms of T. 9 in. 120° O 187 67 277

A: We have to find arc length

Q: In ⨀?, radius line segment OD⊥ chord line segment AB at point ?. If OD = 17 and AB = 30, find OC.

A:

Q: 7. The sides of quadrilateral PQRS are tangent to the circle at the points as pictured below. What…

A: Use the property of quadrilateral inscribed a circle.

Q: 7, Ginen: Quadrilateral ARCD r Quadrilateral EFGH m<E = 2x+30 meF =950 ASM mLA = mcC = 110° 3x+10…

A:

Q: Is line PT tangent to Circle C at Point P? 24 10 C 26 O Yes O No O Not enough info.

A:

Q: 5) Find the length of the segment. Round to the nearest tenth of a unit. y DI-3,6) E(6, 8) 2 F(0, 2)…

A: Given

Q: 1. Given AABC with sides a, b, and c opposite Â, ß, and Ĉ, respectively, express the length of a…

A: Let's define the B-excircle first:   B- excircle of triangle ABC is the circle that is tangent to…

Q: DA = 3.5 %3D BA = 2 CA = 2 %3D 3 B. 3,5

A: Theorem  The tangent at any point of a circle is perpendicular to the radius through the point of…

Q: 2. What is the first step to construct a congruent triangle such that AFGH = AJKL? Measure JK.…

A: The first step to construct a triangle which is also congruent to the given triangle is given by :…

Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

A:

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.