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OAB is a sector of radius 24 units and has a central angle of 60°. A circle having a radius r is inscribed in the sector. Compute the radius of the circle. a) 7 cm b) 9 cm ) 8cm d) 10 cm

OAB is a sector of radius 24 units and has a central angle of 60°. A circle having a radius r is inscribed in the sector. Compute the radius of the circle. a) 7 cm b) 9 cm ) 8cm d) 10 cm

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...
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OAB is a sector of radius 24 units and has a central angle of 60°. A circle having a radius r is inscribed in the'sector. Compute the radius of the circle. a) 7 cm b) 9 cm c). : 8 cm d) 10 cm Two chords AB and AC are equal and OB is also equal to OC where O is the center of the circle circumscribing ABC. If the angle BOC is 228", find the value of angle ABO. .a) 34 b) 33 c) 35: d) 36 One diagonal of a parallelogram is 80.5 m. It makes an angle of 18 24' and 35 12' respectively, with the sides. Find the length of the longest side. a) 57,65 b) 63.70 c) 59.24 d) 54.12 A jandscaper has two gardens, one is a square and the other is a rectanigle. The width of the rectangular garden is 5 m. less than a side of the square one and the lenigth of the rectangular garden is 3 m. more than a side of the square garden. If the sum of the areas of both gardens is 165 sq.m, find the total perimeter of both gardens.. a) 49 m b) 76 m. c) 56 m, d). 86 m
Transcribed Image Text:OAB is a sector of radius 24 units and has a central angle of 60°. A circle having a radius r is inscribed in the'sector. Compute the radius of the circle. a) 7 cm b) 9 cm c). : 8 cm d) 10 cm Two chords AB and AC are equal and OB is also equal to OC where O is the center of the circle circumscribing ABC. If the angle BOC is 228", find the value of angle ABO. .a) 34 b) 33 c) 35: d) 36 One diagonal of a parallelogram is 80.5 m. It makes an angle of 18 24' and 35 12' respectively, with the sides. Find the length of the longest side. a) 57,65 b) 63.70 c) 59.24 d) 54.12 A jandscaper has two gardens, one is a square and the other is a rectanigle. The width of the rectangular garden is 5 m. less than a side of the square one and the lenigth of the rectangular garden is 3 m. more than a side of the square garden. If the sum of the areas of both gardens is 165 sq.m, find the total perimeter of both gardens.. a) 49 m b) 76 m. c) 56 m, d). 86 m
A vertical pole stands on a horizontal ground.. ·A geodetic engineer positioned due east of the pole measures the elevation of. the top of. the pole as 53.33 grads. He moves dué south 30 m. and measures the elevation of the top of the pole as 782.22 mils: Determine the height 'of the pole in meters. a). 48.6 b) 39.4 c) 44.8 d). 58.6 A tangent. line is drawn from point T to a tangent point at W on à given circle. A secant is also drawn from, the same point : T intersecting the circlę at points S and R. Triangle WSR is a triangle which is inscribed in the given cirde. If TW = 15 m and SR =.16 . m, find the value of ST. a) 11 b) 10 d) 8 Line AS is drawn tangent to a circle at point A. Triangle ABC is inscribed in the circle with chord AB making an angle e with the tangėnt line AS. If A:B:C = 2:3:4, find the angle 0. a) 80 b) 75 c) 55 d) 65 The angle of elevation of the top of the tower at two points 30 m. and 80. m: away from the foot of the tower 'on a horizontal line are complimentary, what is the height of the tower? a) 45 b) 34 c) 49 d). 25
Transcribed Image Text:A vertical pole stands on a horizontal ground.. ·A geodetic engineer positioned due east of the pole measures the elevation of. the top of. the pole as 53.33 grads. He moves dué south 30 m. and measures the elevation of the top of the pole as 782.22 mils: Determine the height 'of the pole in meters. a). 48.6 b) 39.4 c) 44.8 d). 58.6 A tangent. line is drawn from point T to a tangent point at W on à given circle. A secant is also drawn from, the same point : T intersecting the circlę at points S and R. Triangle WSR is a triangle which is inscribed in the given cirde. If TW = 15 m and SR =.16 . m, find the value of ST. a) 11 b) 10 d) 8 Line AS is drawn tangent to a circle at point A. Triangle ABC is inscribed in the circle with chord AB making an angle e with the tangėnt line AS. If A:B:C = 2:3:4, find the angle 0. a) 80 b) 75 c) 55 d) 65 The angle of elevation of the top of the tower at two points 30 m. and 80. m: away from the foot of the tower 'on a horizontal line are complimentary, what is the height of the tower? a) 45 b) 34 c) 49 d). 25
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