QR is a chord of a circle with centre O. Two tangent at the points Q and R intersect each other at the point P. QM is a diameter of t he circle. Prove that angleQPR = 2 RQM

Q: Show complete solutions with clear figures. Determine the tangent length from (-4,-4) to the circle…

A: diameter length=Distance between two points (2, 3) and (4, -3)d=(4-2)2+(-3-3)2d=40r=402center (h,…

Q: C 15 12 P.

A:

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: In a right triangle ABC in which ∠B = 90°, a circle is drawn with AB as diameter intersecting the…

A: Let O be the center of the given circle. Suppose the tangent at P meets BC at Q The join BP. The aim…

Q: The radius of a circle with centre at (-1, 2) and a tangent at x = -5 is ... Answer:

A: Distance between tangent and center of circle is radius.

Q: 1/1 Question 8 PQ is tangent to circles R and S. Find PQ. 58 PQ = _ P R8Q PQ is tangent to circles R…

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Q: If the tangent of an angle x is 3/4, find the value of the cosine of 2x

A: Let's find.

Q: All sides of AQRS are tangent to circle P. RS has length 16. UQ has length 17. Find the perimeter of…

A: All sides of ∆QRS are tangent to circle P.  RS¯ has length 16. UQ¯ has length 17. To find the…

Q: *17. In the figure, BD is a diameter of the circle. PQ is the tangent to the circle at A. If 2QAB =…

A: Solved below

Q: 3. 8.5 W 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given tangents DB & AB in circle C, find length of DB B 6.

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Q: 3. Solve for x. 20 7x+2 18 ár+3

A:

Q: ABCD is a square with side s. Three similar circles is inscribed in it with ED and FD is the common…

A: We use the Pythagorean theorem to find the length of the tangent from the common point to each of…

Q: Consider the circle of radius r=9 cm Asegment in this circle is enclosed by a chord AB and a minor…

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Q: If 0 < t < π/2, describe sec t as a ratio of the lengths of the sides of a right triangle.

A: If 0 < t < π/2, we have to describe sect as a ratio of the lengths of the sides of a right…

Q: 2. The farthest distance a satellite signal can directly reach is the length of the segment tangent…

A: Jk

Q: Given circle P with NK and QK tangent to the circle and m/NPQ=112°, determine m/NKQ. PS K A 112° 34°…

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Q: 95 25

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Q: Use circle Q to find the following. (show work for #16) A 15. ZACB = QB = 5 AC = 6 BC = x 16. x=.

A: Given  QB=5AC=6BC=x

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.