Find a positive angle of less than one revolution that is coterminal with the following angles: $400^{o}$

25^{0}

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30^{0}

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35^{0}

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40^{0}

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Solution

The correct option is D $40^{0}$
Given, angle is $400$ degrees

One revolution means $360^{0}$ degrees

If we subtract it from given angle, we get $400^{0} - 360^{0} = 40^{0} < 360^{0}$

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Similar questions

Find a positive angle of less than one revolution that is coterminal with the following angle:

\frac{19 π}{4}

Match the following:

(i) Straight angle (a) Less than one-fourth of a revolution

(ii) Right angle (b) More than half a revolution

(iii) Acute angle (c) Half of a revolution

(iv) Obtuse angle (d) One-fourth of a revolution

(v) Reflex angle (e) Between of a revolution

(f) One complete revolution

Question 1

Match the following:

(i) Straight angle (a) less than one-fourth a revolution
(ii) Right angle (b) more than half a revolution
(iii) Acute angle (c) half of a revolution
(iv) Obtuse angle (d) one-fourth a revolution
(v) Reflex angle (e) between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution
(f) One complete revolution

Q. The following distribution gives the daily income of

50

workers of a factory.

Daily income (in Rupees)	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$	$450 - 500$
Number of workers	$12$	$14$	$8$	$6$	$10$

Convert the above distribution to a less than type cumulative frequency distribution and draw its ogive.

Q. Draw a histogram to represent the following data:

Pocket money (in $R s$ )	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$
Number of students	$10$	$5$	$7$	$4$	$3$

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Find a positive angle of less than one revolution that is coterminal with the following angles:400o

The correct option is D 400Given, angle is 400 degreesOne revolution means 3600 degreesIf we subtract it from given angle, we get 4000−3600=400<3600

Find a positive angle of less than one revolution that is coterminal with the following angles: $400^{o}$

The correct option is D $40^{0}$
Given, angle is $400$ degrees

One revolution means $360^{0}$ degrees

If we subtract it from given angle, we get $400^{0} - 360^{0} = 40^{0} < 360^{0}$