**Basic trigonometry practice problems for grade 11 :**

Here we are going to see some practice questions on basic trigonometry.

(1) Express each of the following angles in radian measure

(i) 30° (ii) 135° (iii) -205° (iv) 150° (v) 330°

(2) Find the degree measure corresponding to the following radian measures

(i) π/3 (ii) π/9 (iii) 2π/5 (iv) 7π/3 (v) 10π/9

(3) What must be the radius of a circular running path, around which an athlete must run 5 times in order to describe 1 km?

(4) In a circle of diameter 40 cm, a chord is of length 20 cm. Find the length of the minor arc of the chord.

(5) Find the degree measure of the angle subtended at the centre of circle of radius 100 cm by an arc of length 22 cm. Solution

(6) What is the length of the arc intercepted by a central angle of measure 41^{◦} in a circle of radius 10 ft?

(7) If in two circles, arcs of the same length subtend angles 60^{◦} and 75^{◦} at the centre, find the ratio of their radii. Solution

(8) The perimeter of a certain sector of a circle is equal to the length of the arc of a semi circle having the same radius. Express the angle of the sector in degrees, minutes and seconds. Solution

(9) An airplane propeller rotates 1000 times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in 1 second. Solution

(10) A train is moving on a circular track of 1500 m radius at the rate of 66 km/hr. What angle will it turn in 20 seconds? Solution

(11) A circular metallic plate of radius 8 cm and thickness 6 mm is melted and molded into a pie (a sector of the circle with thickness) of radius 16 cm and thickness 4 mm. Find the angle of the sector. Solution

After having gone through the stuff given above, we hope that the students would have understood "Basic trigonometry practice problems for grade 11".

Apart from the stuff given above, if you want to know more about "Basic trigonometry practice problems for grade 11".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**