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QUESTION BANK_ANGLE & ITS MEASUREMENT
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Q.1 Convert 8π ͨ/3 into degrees
1 point
(A) 144°
(B) 80°
(C) 480°
(D) 180°
Clear selection
Q.2 The angles of a triangle are in the ratio 3 : 7 : 8. Then the greatest angle in radians is
1 point
(A) 4π ͨ/9
(B) 5π ͨ/9
(C) 7π ͨ/18
(D) π ͨ/6
Clear selection
Q.3 The difference between two acute angles of a right angled triangle π/9. Then the angles in degrees are
1 point
(A) 30°, 35°
(B) 45°, 55°
(C) 55°, 35°
(D) 60°, 75°
Clear selection
Q.4 The angle subtended at the centre of a circle of radius 3 meters by an arc of length 1 metre is equal to
1 point
(A) 20°
(B) 60°
(C) 1/3 radian
(D) 3 radians
Clear selection
Q.5 The radius of the circle whose arc of length 15 cm makes an angle of 3/4 radian at the
1 point
(A) 10 cm
(B) 20 cm
(C) 11(1/4) cm
(D) 22(1/4) cm
Clear selection
Q.6 The arc length of a circle is
1 point
(A) s = rθ
(B) s = θπ
(C) 1/2r²θ
(D) πθ
Clear selection
Q.7 The angles of a quadrilateral are in the ratio 2 : 3 : 3 : 4. Then the least angle in degrees is
1 point
(A) 90°
(B) 45°
(C) 30°
(D) 60°
Clear selection
Q.8 104° 36’ in radian is :
1 point
(A) 528π ͨ/300
(B) 523π ͨ/900
(C) 253π ͨ/600
(D) 525π ͨ/900
Clear selection
Q.9 Which of the following is not coterminal with the angle 40° :
1 point
(A) 400°
(B) 760°
(C) -320°
(D) 320°
Clear selection
Q.10 –635° lies in
1 point
(A) I quadrant
(B) II quadrant
(C) III quadrant
(D) IV quadrant
Clear selection
Q.1 Number of sides of a regular polygon having interior angle 3π ͨ/5 are
1 point
(A) 5
(B) 7
(C) 6
(D) 8
Clear selection
Q.2 Exterior angle of a regular polygon is 72° then its interior angle is :
1 point
(A) 3π ͨ/5
(B) π ͨ/5
(C) 2π ͨ/5
(D) π ͨ/6
Clear selection
Q.3 If negative y axis is the terminal arm of a standard angle then it is called as :
1 point
(A) quadrantal angle
(B) angles in quandrant
(C) straight angle
(D) zero angle
Clear selection
Q.4 Angle between the hour hand and minute hand of a clock at quarter past eleven in degrees is
1 point
(A) (15π /24) ͨ
(B) 112°,30'
(C) 107°, 53"
(D) (2π /3) ͨ
Clear selection
Q.5 A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
1 point
(A) 50°
(B) 210°
(C) 100°
(D) 60°
Clear selection
Q.6 OA and OB are two radii of a circle of radius 10 such that ∠AOB = 144°. Then area of the sector AOB is
1 point
(A) 8π
sq.cm
.
(B) 20π
sq.cm
.
(C) 30π
sq.cm
.
(D) 40π
sq.cm
.
Clear selection
Q.7 A wire 121 cm. long is bent so as to lie along the arc of a circle of 180 cm radius. The angle subtended at the centre of the arc in degrees is
1 point
(A) 35°, 37'
(B) 36°, 30'
(C) 37°, 30'
(D) 38°, 30'
Clear selection
Q.8 The perimeter of a sector of a circle of area 36π sq. cm is 24 cm. Then the area of sector is
1 point
(A) 40
sq.cm
.
(B) 36
sq.cm
.
(C) 46
sq.cm
.
(D) 26
sq.cm
.
Clear selection
Q.9 If θ ͨ is the angle between two radii of a circle of radius r, then the area of corresponding sector is
1 point
(A) r²θ
(B) 1/2 r²θ
(C) rθ
(D) 2π r
Clear selection
Q.10 The angles of a triangle are in A.P. such that greatest is 5 times the least. The angles in degree are
1 point
(A) 30°, 45°, 90°
(B) 30°, 60°, 90°
(C) 20°, 70°, 100°
(D) 20°, 60°, 100°
Clear selection
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