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Since AB = AC the angles opposite these sides are equal . So m ABC = [ 180 - m BAC] /2 = [ 180 - 42 ] / 2 = 138/2 = 69° And since ABC is an inscribed angle, then it intercepts an arc that is twice its measure . So minor arc AC = 138° And a chord meeting a tangent forms an angle = 1/2 the arc intercepted by the chordFord 1900 tractor loader
As line segments AM and BM are equal in length, we can see that OM bisects line segment AB. Also, we know from the original diagram that , so the line segment AB is perpendicular to line segment OM. Putting all this information together, we can see that line OM is the perpendicular bisector of line segment AB.

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In the accompanying diagram of circle O, secants PBS and PQR are drawn. If the measure of I-SPR is 650 and the measure ofBQ is 430, the measure o SR is (1) 870 (2) 1070 -LAC (4) 1730 In circle O, AB is a and OC is a radius. If mAC = find mLBOC. 2) 500 (3) 650 (4) 1300 orc If mAB = 100 and mBC Insca 150, In circle O, AB and BC are chords. find ...

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Aug 27, 2014 · Since we know AB = BC (Isosceles triangle) this implies that angle BAC and angle ABC are equal. 55+55 = 110 There are 180 degrees in a triangle. 180-110 = 70 which is angle x. Finally there are 180 degrees in a straight line and since we know that angle ABC = 55, 180-55 = 125 which is angle y. x= 70 degrees y= 125 degrees. Aug 27, 2014 • Comment

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Jul 26, 2017 · An arc is all points between two points on the edge of a circle (AB). A sector is the (shaded) region enclosed by an arc and two radii (AOB). A central angle is the angle created by the intersection of two radii at the center of a circle (∠O).

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The Ferry wheel has a 250 feet diameter and 14 feet above the ground. If is the central angle formed as a rider moves from position P 0 to position P 1, find the rider’s height above the ground h when is 45 . 1 22. The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of the elevation of the sun. 23.

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They are used to explore many other formulas and mathematical equations. An arch length is a portion of the circumference of a circle. The ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to $360$ degrees. A sector of a circles is the region bounded by two radii of the circle and their ...

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Find out the radius of a circle, knowing only the diameter; Estimate the diameter of a circle when its radius is known; Find the length of an arc, using the chord length and arc angle; Compute the arc angle by inserting the values of the arc length and radius; Formulas. This calculator uses the following formulas: Radius = Diameter / 2. Arc ...

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Specify center point for circle or [3P/2P/Ttr (tan tan radius)]: FROM Base point: END of <Offset>: @0,10 (this co-ordinate is a point 10 units above the endpoint) Specify radius of circle or [Diameter] <10.0000>: 10 (a radius value of 10 ensures that the southern point on the circle will touch the top of the line)

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Use the fact that the arc measures of a circle must sum to 360 degrees and other properties of angles that share a vertex to find missing arc measures.

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The red arc measures 120°. The blue arc measures 240°. Measurement by arc length : Formula: s = rθ s = arc length r = radius of the circle θ = measure of the central angle in radians. Red arc: r = 2 and θ = 2π/3, so s = 4π/3

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Apr 01, 2020 · (a) In the figure (i) given below, chord AB and diameter CD of a circle with centre O meet at P. PT is tangent to the circle at T. If AP = 16 cm, AB = 12 cm and DP = 2 cm, find the length of PT and the radius of the circle (b) In the figure (ii) given below, chord AB and diameter CD of a circle meet at P.

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