# NCERT Solutions For Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.1

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 3 |

Exercise | Class 11 Maths Chapter 3 Trigonometric Functions Exercise 3.1 |

Number of Questions Solved | 7 |

## NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.1

**NCERT TEXTBOOK EXERCISES**

**Ex 3.1 Class 11 Maths Question 1. Find the radian measures corresponding to the following degree measures:**

(i) 25°

(ii) -47°30′

(iii) 240°

(iv) 520°

**Solution.**

We have, 180° = π Radians

**Ex 3.1 Class 11 Maths Question 2. Find the degree measures corresponding to the following radian measures $\left( Use\quad \pi =\frac { 22 }{ 7 } \right)$**

(i) 11/16

(ii) -4

(iii) 5π/3

(iv) 7π/6

**Solution.**

We have π Radians = 180°

**Ex 3.1 Class 11 Maths Question 3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second ?**

**Solution.**

Number of revolutions made by wheel in one minute = 360

As we know that, 1 Revolution = 27 π Radians

∴ 360 Revolutions = 720 π Radians

∴ In 1 minute wheel can make = 720 π Radians

⇒ In 60 seconds wheel can make = 720 π Radians

⇒ In 1 second wheel can make

$\frac { 720\pi }{ 3 } Radians=12\pi \quad Radians$

**Ex 3.1 Class 11 Maths Question 4. Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm $\left( Use\quad \pi =\frac { 22 }{ 7 } \right)$**

**Solution.**

Let O be the centre and AB be the arc length of the circle.

**Ex 3.1 Class 11 Maths Question 5. In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of Xhe chord.**

**Solution.**

Let AB be the minor arc of the chord.

AB = 20 cm, OA = OB = 20 cm

**Ex 3.1 Class 11 Maths Question 6. If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their, radii.**

**Solution.**

Let r_{1} r_{2} and θ_{1}, θ_{2} be the radii and angles subtended at the centre of two circles respectively.

**Ex 3.1 Class 11 Maths Question 7. Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length**

(i) 10 cm

(ii) 15 cm

(iii) 21 cm

**Solution.**

## NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Exercise 3.1 PDF

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