math_trig_test_question_2$Math\phantom{\rule{0.22em}{0ex}}\left(trigonometry\right)\phantom{\rule{0.22em}{0ex}}test\phantom{\rule{0.22em}{0ex}}Paper\phantom{\rule{0.22em}{0ex}}-2$Time-1.5 hours
 Questions Marks Score Q-1Convert 30°${30}^{°}$ into radian 1 Q-2Find in radians and degrees the angle subtended at the centre of a circle by an arc whose length is 15 cm, if the radius of the circle is 25 cm. 2 Q-3The perimeter of a sector of a circle, of area 25𝜋$25𝜋$ sq.cm, is 20 cm. Find the area of sector. 2 Q-4The angles of a quadrilateral are in A.P.and the greatest angle is double the least. Express the least angle in radians. 2 Q-5The angles of a triangle are in A. P. such that greatest is 5 times the least. The angles in degrees are 2 Q-6A wheel makes 360 revolutions in 1 minute. Through how many radians does it turn in1 second? 2 Q-7In a circle of diameter 66 cm, the length of achord is 33 cm. Find the length of minor arc of the chord. 2 Q-8 Find the angle between the hour-hand and minute-hand of a clock ati. twenty minutes past two 3 Q-9Find the angle between the hour-hand andminute-hand of a clock ati. quarter past six 3 Q-10Find the angle between the hour-hand and minute-hand of a clock ati. ten past eleven. 3 Q-11Two circles each of radius 7 cm, intersecteach other. The distance between their centres is 72$7\sqrt{2}$ cm. Find the area common to both the circles. 3 Q-12𝛥$𝛥$PQR is an equilateral triangle with side 18cm. A circle is drawn on segment QR as diameter. Find the length of the arc of this circle intercepted within the triangle. 3 Q-13If sinA=-35$sinA=-\frac{3}{5}$ and 180°
Answer: 1 $\frac{𝜋}{6}$ Answer: 2$\frac{180}{𝜋}$ Answer: 325 sq. cm Answer: 4 $\frac{𝜋}{3}$ Answer: 520, 60, 100 Answer: 6$12𝜋$ Answer: 7$11𝜋$ Answer: 8${50}^{°}$ Answer: 9$97\frac{1}{2}$ Answer-10${85}^{°}$ Answer: 11$\frac{49}{2}\phantom{\rule{0.22em}{0ex}}\left(𝜋-2\right)$ Answer: 12$3𝜋\phantom{\rule{0.22em}{0ex}}$ Answer: 13$cosA=-\frac{4}{5}\phantom{\rule{0.88em}{0ex}}and\phantom{\rule{0.44em}{0ex}}tanA=\frac{3}{4}\phantom{\rule{0.22em}{0ex}}$ Answer: 14$\frac{1}{\sqrt{2}}$ Answer: 15$-\frac{1}{\sqrt{2}}$ Answer: 16$\frac{1}{\sqrt{2}}$ Answer: 17 -1 Answer: 180 Answer: 19$-\frac{1}{\sqrt{2}}$ Answer: 20$-\frac{1}{\sqrt{2}}$ Answer: 21$\frac{1}{\sqrt{2}}$