Measurement Of Angles - UP Board (UPMSP) STD 11 Science MATHS Questions

Q 1M.C.Q (1 Marks)1 Mark

The angle between the minute and hour hands of a clock at 8 : 30 is:

A
80°
✓
75°
C
60°
D
105°

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark

If the angles of a triangle are in A.P. then the measures of one of the angles in radians is:

A
$\frac{\pi}{6}$
✓
$\frac{\pi}{3}$
C
$\frac{\pi}{2}$
D
$\frac{2\pi}{3}$

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

The radius of the circle whose arc of length $15\pi$ makes an angle of $\frac{3\pi}{4}$ radian at the centre is:

A
$10\text{cm}$
✓
$20\text{cm}$
C
$11\frac{1}{4}\ \text{cm}$
D
$22\frac{1}{2}\ \text{cm}$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

If the arac of the same langth in two circles subtend angles 65° and 110° at the center, the ratio of the circle is:

A
22 : 13
B
11 : 13
✓
22 : 15
D
21 : 13

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark

If OP makes 4 revolutions in on second the angular velocity in radians per seconds is:

A
$\pi$
B
$2\pi$
✓
$4\pi$
D
$8\pi$

Answer: C.

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Q 61 Marks Question1 Mark

Find the degree measure corresponding to the following radian measures: $(\text{Use}\ \pi=\frac{22}{7})$
$\frac{-5\pi}{6}$

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Q 71 Marks Question1 Mark

Find the radian measure corresponding to the following degree measures:
7°30'

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Q 81 Marks Question1 Mark

Find the radian measure corresponding to the following degree measures:
300°

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Q 91 Marks Question1 Mark

Find the radian measure corresponding to the following degree measures:
125°30'

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Q 101 Marks Question1 Mark

Find the degree measure corresponding to the following radian measures: $(\text{Use}\ \pi=\frac{22}{7})$
$\big(\frac{18\pi}{5}\big)$

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Q 112 Marks Questions2 Marks

Find the magnitude, in radians and degrees, of the interior angle of a regular.
Octagon.

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Q 122 Marks Questions2 Marks

Find the magnitude, in radians and degrees, of the interior angle of a regular.
heptagon.

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Q 132 Marks Questions2 Marks

The difference between the two acute angkes of a right angles triangle is $\frac{2\pi}{5}$ redians. Express the angles in degrees.

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Q 142 Marks Questions2 Marks

Find the radian measure corresponding to the following degree measures:
-47°30'

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Q 153 Marks Question3 Marks

Find the degree measure of the angle subtended at the centre of a circle of radius 100cm by an arc of length 22cm.

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Q 163 Marks Question3 Marks

The radius of a circle is 30cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30cm.

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Q 173 Marks Question3 Marks

The angle in one regular polygon is to that in another as 3 : 2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

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Q 183 Marks Question3 Marks

The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1 : 120. Find the angles in radians.

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Q 193 Marks Question3 Marks

Find the length which at a distance of 5280m will subtend an angle of 1' at the eye.

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Q 205 Marks Questions5 Marks

Find the distance from the eye at which a coin of 2cm diameter should be held so as to conceal the full moon whose angular diameter is 31'.

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Q 215 Marks Questions5 Marks

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

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Q 225 Marks Questions5 Marks

If the arcs of the same length in two circles subtend angles $65^\circ$ and $110^\circ $at the centre, find the ratio of their radii.

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Q 235 Marks Questions5 Marks

A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66km/ hr. Through what angle has it turned in 10 seconds?

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Q 245 Marks Questions5 Marks

Find the diameter of the sun in km supposing that it subtends an angle of 32' at the eye of an observer. Given that the distance of the sun is $91 \times 10^6km.$

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Measurement Of Angles question types

Measurement Of Angles questions

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Measurement Of Angles MATHS - Measurement Of Angles

Measurement Of Angles question types

Measurement Of Angles questions

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