Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 4

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11th Tamil Nadu Board

IMPORTANT

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In a circle of diameter $40$ cm, a chord is of length $20$ cm. Find the length of the minor arc of the chord. [Enter the value without units correct to two decimal places and take $π = \frac{22}{7}$ ].

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Important Questions on Trigonometry

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 5

Find the degree measure of the angle subtended at the center of the circle of the radius

100 cm

by an arc of length

22 cm

.

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 6

What is the length of the arc intercepted by a central angle of measure

41 °

in a circle of radius

10 ft

? [Write the answer without units correct to two decimal places and take

π = \frac{22}{7}

]

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 7

If in two circles, arcs of the same length subtend angles $60 °$ and $75 °$ at the centre, find the ratio of their radii. [Write the answer in fraction]

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 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.

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 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.

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 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? (Write the answer without degree symbol)

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 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. If the angle of the sector is

\frac{k π}{4}

radians. Find the value of

k

.

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 3 - Trigonometry>Exercise>Q 1

Find the value of $k$ , if $\sin (480 °) = \frac{\sqrt{k}}{2}$