If the radius of a circle is r and the length of the arc subtendedby a central angle is also r, then the measure of the angleis 1 .

Q: If the radius of a circle is 3 cm., then the measure of an angle that cuts an arc of length 6 cm is:…

A:

Q: In all isosceles triangles, the exterior angle of a base angle must always be

A: To find the exterior angle of a base angle in all isosceles triangle :

Q: Suppose the largest angle of a triange is the sum of the other two angles. Find the smallest angle…

A: We know that sum of angles of triangle is 180 Then we will form another two equation by given…

Q: The measurement of an inscribed angle is its intercepted arc. * O one-fourth of O one-half of O…

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Q: Two supplementary angles are congruent. Find their measures.

A: Two Supplementary angles are congruent. This means that their measuresare equal.  ⇒m ∠A = m ∠B

Q: A positive angle less than 2π that is coterminal with 43π/6 is

A:

Q: Find the angle of least positive measure(in degrees, not equal to the given measure) that is…

A: The angle of least positive measure of coterminal with 468°. 468° - 360° = 108°

Q: Prove that the angle substended by an arc of a circle at the centre is doubled the angle substended…

A: Let O be the center of circle. PQ is an arc subtending ∠POQ at the center O. To prove: ∠POQ=2∠PAQ

Q: In Case 2-(Center of the circle within the angle), Theorem 42-(An angle inscribed in a circle is…

A: Consider the provided information and diagram,

Q: The measure of a major arc is always greater than the measure of a minor arc in a circle. O True O…

A: Major and minor Arcs of the circle: - Two arcs are defined by two points on a circle. The shortest…

Q: In circle J with mZHLK = 21°, find the angle measure of minor arc HK . %3D K H J L

A: In circle J with m∠HLK=21°. Find the angle measure of minor arc HK⏜

Q: If two secants or chords intersect inside a circle, then the measure of the angle formed is equal to…

A: We have to find the measure of angles 1 and 2.

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: In circle J with mZHJK = 36°, find the angle measure of minor arc HK . H K J

A: In the given circle  Angle HJK = 36° TO find the minor arc HK

Q: If the length of arc DF is 14T units and the measure of ZE is 60 degrees, What is the radius?

A: Length of the arc DF⏜ = 14π Central angle, ∠E = θ = 60° Radius of circle, r = ?

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

A: Here we finding the s.

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: An enginner places his transit along the line tangent to the circle at point A such that PA = 200 m.…

A: Given, An engineer places his transit along the line tangent to the circle at point A. Such that, PA…

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:

Q: For a circle of radius r, a central angle of o degrees subtends an arc whose length s is s = re.…

A: Given: Radius of circle is r. Central angle is θ. Since 1°=π180radians, Then θ°=π180×θ radians

Q: In Circle O, line AOC is a diameter, line ADBis a secant, and LINE BC is a tangent. If the measure…

A: . Given , the circle O, line AOC is 9 diameter , line ADB is secant, and LINE BC is a tangent mDC¯=…

Q: Investigate the possibility, given a circle, of drawing two chords whoselengths are in the ratio 1…

A: Given a circle, Draw two chords whose lengths are in the ratio 1:2 and whose distance from the…

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 140 degrees is

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Q: In the diagram below of circle K. secant PLKE and tangent PZ are drawn from external point P. K. Z.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are…

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of…

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: If on the unit circle C, the distance from P(1, 0) to the point T(, 2) is x, determine the o point…

A: Unit circle: -A unit circle is outlined as a circle with a radius of 1 unit. The coordinate plane is…

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

A: If the central angle θ is measured in degrees then arc length , s =θ360°2πr ; where 'r' is the…

Q: In a circle of radius 3, the length of the arc that subtends a central angle of 224 degrees is Round…

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Q: Suppose that the lengths of two sides a and b in a triangle are known along with the measure of the…

A: Given :          The lengths of two sides a and b in a triangle and the measure of the angle C…

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC , is a tangent. If the measure of arc DC is…

A: Hope this answerd this question

Q: AB is tangent to Circle O. If AO = 24 and BC = 50, what is AB? 6. A

A:

Q: Find the measure​ (in degrees, not equal to the given​ measure) of the least positive angle that is…

A:

Q: if the area of the sector of a circle is 3pi and the lenght of its arc is 2pi. find its central…

A:

Q: Prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of two…

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

A: we have to find OB radius

Q: In Case 3-(Center of the circle outside the angle), Theorem 42-(An angle inscribed in a circle is…

A:

Q: If points A and B are the endpoints of a diameter and C is any other point on circle O, find the…

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Q: If BC is tangent to circle O and OB is a radius, what kind of triangle is ОВС? X right triangle X…

A: In the circle  BC is tangent of circle O O centre of the circle What is triangle OBC?

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of are DC is 3…

A: Given query is to find measure of angle B.

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: Given that 2 parallel lines are cut by a transversal, solve for the measure of the angle marked with…

A: we know that corresponding angles are congruent when a transversal bisect two parallel lines.…

Q: A triangular parcel of land with vertices at R, S and T was to be enclosed by a fence, but it was…

A:

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…

A:

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

A:

Q: In Circle O, АОС is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: The objective is to find the measure of A.

Q: Find the length of the arc, s, on a circle of radius r intercepted by a central angle

A: Equation to find arc length is ,               s=radius×central angle in radians

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-…

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.