G10Math 1Q10.001.1

9MathQ10-1001
Chapter 10
Trigonometric Ratios and Their Application

1. If we convert 135° to radian measure, we get
   A.3π4 B.3π2 C.π4 D.π2 E.3+π2
2. 75° in radian measure is
   A.π75 B.75π C.5π12 D.12π5 E.π30
   3.An arc PQ subtends an angle 60° at the centre O of radius 3 cm. The area of the sector POQ is
   A. 270 cm2 B. 32 cm2 C. 3π2 cm2 D. 3π cm2 E. 180 cm2
   4.A sector of a circle has arc length of 8 cm and the area of 16 cm2,then the radius of the circle
   in cm , is
   A. 2 B. 3 C.5 D. 48 E. 12
3. OAB is a sector of a circle with centre O, radius 8 cm and a perimeter 22 cm. Then the area
   of sector, in square cm is
   A. 6 B. 28 C. 24 D. 48 E. 12
4. The area , in cm2 , of a circle has the same numerical value as the circumference, in cm, of
   the same circle. The radius , in cm, is
   A. 2 B. 1 C.2π D.1π E.12
5. An arc PQ subtends an angle of 120° at the centre of a circle of radius 1 cm. The length of
   arc PQ is
   A. 120 cm B. 60 cm C. π6cm D. 2π3cm E.π218 cm
6. If the central angle of a circle of radius 14 cm cuts off an arc of length 28 cm , then the radian
   measure of the angle is
   A. 22 B.2 C.1 D. 4 E. 8π
7. The pendulum on a clock swings through an angle of 2 radians, and the tip sweeps out and
   arc of 6 inches. Then the length of the pendulum is
   A. 3 inches B. 12 inches C. 24 inches D. 12π inches E. 24π inches
8. The area of a sector of a circle is 143 cm2and the length of the arc of the sector is 11 cm .
   Then the radius , in cm, of the circle is
   A. 11 B.132 C.26 D. 13 E. None of these
9. The figure shows a sector OMN of a circle at centre O with the radius r = 6 cm and a
   perimeter of 16 cm . The area of sector MON = ………
   A. 24cm2 B. 36cm2 C. 15cm2 D.12cm2 E. 9cm2