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

Q: Given circle Z with tangents XW and XY, what is measure of arc WVY

A: We need to find measure of the arc WVY. We shall use the relation between Circles and angle between…

Q: Given line YZ tangent to OJ at point Y and mzWYZ = 119, what is the measure of arc WXY %3D Y W X.

A: Measurement of arc is the angle subtended by arc at the center of circle.

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: If C is the unit circle x² + y? = 1 oriented counterclockwise and F (x, y) = xi +y j, what is the…

A:

Q: In the accompanying diagram, PÁ is tangent to circle O at A and PBC is a secant. If AB:BC: CA =…

A: Given PA is tangent to circle O at A and PBC is a secant to find angle P

Q: Given: E is the midpoint of AC, DE = EC Prove: DE = AE

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

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: RS=RT=5   ∵Radius of the circle Therefore, PR=PT+RT⇒PR=4+5⇒PR=9 Now by using Pythagorean theorem in…

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: Given: AP and BP are tangent A to ©Q at A and B C is the midpoint of AB PĆ bisects ZAPB Prove: В

A: given: AP¯ and BP¯ are tangents to the circle having centre Q at A and B. C is the mid point of AB⏜.…

Q: Given circle Z with tangent lines XW and XY, what is the value of a? (10a)° (4a+10)° O 10 O42 O 4…

A: Given:

Q: Given C is the unit circle z=1, then dz = %3D None 2 T - i - 2 Ti

A:

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: Use the formula for arc length to show that the circumference of the circle       x2 + y2 = 1 is 2 .

A: x2 + y2 = 1 has center (0,0) and radius = 1 unit. We solve for y from the equation. We will…

Q: Let AA be the area of a circle with radius rr. If drdt=4drdt=4, find dAdtdAdt when r=1r=1.

A: Radius of circle, r = 1 dr/dt = 4

Q: In the figure, a circle is centered at C with BE←→ and DE←→ drawn tangent to the circle at B and D,…

A: Topic: 2D geometry

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

A: We use definition

Q: The area of circle H is 90.25 cm2, The sector area contained by ZGHJ and GJ is 31.4m cm2. What is…

A:

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: In ASTU with a right angle at T, the tangent ratio can be used to determine the length of TU as a)…

A:

Q: MN, NO, and MO are tangent to circle P, find x.

A: Draw a schematic diagram of given figure.

Q: Given: YZ is tangent to circle J at point Y and the mzWY2 = 68°, what is the measure of arc WXY?

A:

Q: Use Green's theorem to evaluate -y dx + x dy, where C is the unit circle r? + y? = 1

A:

Q: In the diagram below, JK is tangent to circle M. Answer the following. If MJ = 16, ML = 16, and LK =…

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

A: The solution is:

Q: Given central point C of the circle with AC - 7 that is a bisector BH, calculate HJ when CJ is equal…

A: Given

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

A:

Q: Given: © 0 and P are externally tangent. OA = 8, PB = 2 Find: The length of common external tangent…

A: Given OA=8PB=2    using the formula AB= d2-R-r2wher d is distance between  O and P and R and r are…

Q: The value of the integral ze -dz , where C is the circle z=2 traversed once in the 2z - 3 positive…

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Q: Use the reason for the proving are theorem 113,114,115,116 and 117

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: RB is tangent to a circle, whose center is A, at point B. BD is a diameter. R D 25° What is m2 CBR?

A: A tangent to a circle is a line which touches a point on the circumference of a circle externally.…

Q: In the following sketch, AE and BF are tangents to the circle at A and B respectively. AE || CD and…

A:

Q: Given: Circle O, CD is a diameter, АВ //CD. Аrc AB %3D 58° 3) C Find the mesure of arc CA. B.

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

A:

Q: find the total length of the circle r = 2a cos 0 for a > 0?

A: Recall the below fact.

Q: D A B

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Q: Given C is the unit circle z =1, then dz 2 T None - 2 Ti 2 Tt IN

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Q: Find the length of the radius if AB is a tangent to O P C 15 A P 12

A:

Q: In the diagram below, JK is tangent to circle M. Answer the following. If MJ = 7, ML = 7, and LK =…

A: We have that the tangent and radius line at a point on the circle makes an angle of 900. So the…

Q: In the circle below, IK is a diameter and IL is tangent at I. Suppose m IJ = 66°. Find the…

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Q: ind the surface area of a sphere of radius r using the formula of arc length with respect to x. Draw…

A: Consider the given information.

Q: Lines CD and DE are tangent to circle A, as shown below: 125° E A B

A:

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: Given: AB and AC are B tangents to 00 from point A AABC is isosceles A Prove:

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: Given three circles of radius r, tangent to each other as shown in the following diagram, what is…

A: ANSWER B: Let the radius of the circle be "r" Three circles are forming an equilateral triangle So,…

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

A:

Q: Suppose two circles intersect at A and B. Let C and D be points А on one of the circles, let C'A…

A: Meet the point A to B.

Q: 3. In circle Z, if VZ = ZW, SV = 21, and mUT = 112", find each measure. a) UT= d) mXT b) WT= e) mST…

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

Q: 28 In the diagram below of circle O, secant ABC and tangent AD are drawn. 12.5 C

A:

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.

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.