PRIS tangent to circle Q at point R and PS is tangent to circle Q at point S. Determine mZP and mZQ. x° 3x°

Q: 18. In the figure, PT is a tangent segment of circle Q. If PR=4, and RS=12, find the length of PT. *…

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Q: If t = TT, find the terminal point P(x,y) on the unit circle %3D y = Give exact values. No decimals…

A: Given- t=23π To Find- The terminal point P x,y on the unit circle. Concept Used- The terminal point…

Q: PQ is tangent to circle P at point Q. What is mZPRQ? R 59°

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Q: A. Solve. In circle O, PA and PB are tangent segments from point P. 00 P. В 1. If OA=6 cm and PA=8…

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Q: Jayds. ds; C is the portion of the unit circle r(s) = (cos s, sin s), for 0sss 4

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Q: In the figure below, AB is tangent to circle O at point A, secant BD intersects circle O at points C…

A: We have to find the angle

Q: In circle G with the measure of arc FH= 114°, find mZFGH. F G H

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Q: In circle S with mZRST = 120 and RS = 16 units, find the length of arc RT. Round to the nearest…

A: The answer is given below:

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

A: The given diagram is:

Q: MN and NQ are tangent to circle R. M. 6. 3x 4y-2 Solve for x and y.

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Q: Given circle E with diameter CD and radius EA. AB is tangent to E at A. If 21 and EA = 12, solve for…

A: The radius in a circle is constant. The tangent to a circle can only be drawn at a single point on…

Q: S = 10 2 rad r

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Q: A tangent to this circle touches at T. The circle has radius length 10 cm. Find x and BC. 20 30 703

A: Explanation: Given that, a cyclic quadrilateral ABCT. Here tangent T & chord TC,  From the…

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: In the following sketch, O is the centre of the larger circle, and a point on the circumference of…

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Q: Use the arc-length formula to find length of the arc, s, subtended by the given central angle, 0 =…

A: Circumference of the circle is 2pir  Angle suspended by the circumference is 360

Q: In the diagram below, PS is a tangent to circle O at point S, PQR is a secant, PS = x, PQ = 3, and…

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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: PR Is tangent to circle Q at R and PS Is tangent to circle Q at S. Find mzQ. 37° mzQ =

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Q: With PT and PS both tangent to the circle as shown. If measure of arc ST = 130° find the measure of…

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Q: D 12 cm 45° A AB and AD tangent to circle C. are What is the value of x?

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Q: In each diagram, ZY is tangent to circles O and P. Find the value of x.

A: We draw a perpendicular line from O to PY.

Q: Given LK & JK are tangent to the circle below, find maJKL. 110° J

A: The solution is:

Q: In each diagram, ZY is tangent to circles O and P. Find the value of x. 9.

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Q: 3 In the diagram below, PS is a tangent to circle O at point S, PQR is a secant, PS = x, PQ = 3, and…

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Q: In the diagram below, PR is tangent to circles O and S. Answer the following. If OP = 7, SQ = 3.5,…

A: AAA triangular similarity: Triangles are similar if the measure of all three interior angles in one…

Q: In the figure below, CD is tangent to the circle. Solve for m BD and m AB. yo C 50% A to D 200° The…

A: Explanation of the answer is as follows

Q: A C B Drawing not to scale. Line AB is tangent to the circle with center O. If OB = 3 and if AC = 5,…

A: From the given figure; AC¯=5 OB¯= OC= radius=3 Now find the length of OA OA=AC+OCOA=5+3OA=8

Q: Given Circle C below solve for the following Arc. y to 15° ZY =

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Q: Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tan 60 °…

A: Arc(rs) = 2*60 = 120

Q: 1) Circle P is tangent to each side of ABCD.AB=20, BC=11, and DC=14. Let AQ=x. Find AD.* B P.

A: Theorem  Pair of Tangents are equal in length from external point to a circle

Q: Circle O with diameter RS, tangent SW, chord TS, and mRT = 26° Given: Find: a) mzWSR b) mZRST c)…

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Q: BC is a tangent drawn to circle O. OC = 16, BM = 10. Find BC to %3D the nearest tenth. C B to M 16

A: Given: -  BC is a tangent drawn to circle O. OC = 16, BM = 10. To Find BC

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 21 cm…

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Q: se the arc length formula to find the length of the line between the points indicated. Verify your…

A: The given equation of line is, 4x-6y+8=0......................(1) we have to calculate the arc…

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Q: In circle G with the measure of arc FH=114°, find mZFGH. F G H Answer: mZFGH =

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Q: A In cach circle 0, OP is a radius and PT is a tangent segment. Solve for the missing side of the…

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Q: Find the length s of the circular arc. (Assume r = 2 and 0 = 112°.

A: topic - length of arc

Q: 2. BC bisects AD. BF is tangent to circle C. Use this information to answer the following question.…

A: a) If AE = 7,  To find DE , AD They given that BC bisects AD that is two equal halves , so AE = DE…

Q: MN is a common tangent to OP and OQ. OP is tangent to OQ. If PM = 6, QN = 2, find PQ and MN. M…

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Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: E K. H. Ray ED is tangent to circle A as shown. If arc BG = 118°, arc GK = 25°, and arc BH = 120°,…

A: Given that      Ray ED is tangent to the circle A .   Arc BG = 118° , arc GK= 25° and arc BH= 120°

Q: AC is tangent to circle O at point C. A 23° C What is the measure of LAOC?

A: Given : AC is tangent to the circle O at the point C

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: In circle P with m \angle NPQ= 104m∠NPQ=104 and NP=9NP=9 units find area of sector NPQ. Round to the…

A: Given: m∠NPQ=104° and NP=9 To find the area of the sector NPQ The formula for the area of the sector…

Q: Solve for the missing information, given the AB is a tangent line to circle C. 3 cm 45° В AD =…

A: To find: The length of AD. Given: The values are CD=3 cm. Formula used: trigonometric ratio: sin…

Q: PRis tangent to circle Q at R, and PS is tangent to circle Q at point S. Determine mZQ. 42° P

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Q: AB is tangent to circle C at B, AB =15 centimeters and the redius of the circle is 8 centimeters.…

A: Tangent line to a circle is a line that touches the circle at exactly one point.

Q: TG and TH are tangent to circle Z, if TG measures 4.2 cm, what is the measure of TH? A. 4.2 cm B.…

A: We will use Pythagoras theorem to solve this

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.