11th Std Math Practical
Mathematics and Statistics (Arts and Science)
Answers (Solutions)
Practical No.1
1) Angle and its measuremen
Practical Session No. 1 Angle and its measurement
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Practical Session No. 1 Angle and its measurement
(1) Find the radian measure of the angle between hour-hand and minute-hand of a clockat : (i) twenty minutes past two (ii) ten minutes past eleven(iii) thirty minutes past six (iv) five minutes past one
(2) Find the exact time when the angle between hour-hand and the minute-hand of aclock will be :(i) 440 for the first time after 12 O’clock. (ii) 590 for the first time after 6 O’clock.
(3) A wire of length 10 cm is bent to form an arc of a circle of radius 4 cm. Find theradian and degree measure of the angle subtended by the arc at the center of the circle.Also find the area of the corresponding sector.
(4) Arrange following angles in ascending order : 𝜋𝜋𝑐𝑐, 𝜋𝜋0, 3𝑐𝑐, 1000,𝜋𝜋2𝑐𝑐
(5) ABCDEFGH is a regular octagon inscribed in a circle of radius 1 unit. O is the centerof the circle. Find(i) radian measure of ∠AOB (ii) 𝑙𝑙(chord 𝐴𝐴𝐴𝐴) (iii) 𝑙𝑙(arc 𝐴𝐴𝐴𝐴)(iv) area of the region enclosed between chord AB and arc AB.
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Practical Session No. 1
Angle and its measurement
(1) Find the radian measure of the angle between hour-hand and minute-hand of a clock
at : (i) twenty minutes past two (ii) ten minutes past eleven
(iii) thirty minutes past six (iv) five minutes past one
(2) Find the exact time when the angle between hour-hand and the minute-hand of a
clock will be :
(i) 440 for the first time after 12 O’clock. (ii) 590 for the first time after 6 O’clock.
(3) A wire of length 10 cm is bent to form an arc of a circle of radius 4 cm. Find the
radian and degree measure of the angle subtended by the arc at the center of the circle.
Also find the area of the corresponding sector.
(4) Arrange following angles in ascending order : 𝜋𝜋𝑐𝑐, 𝜋𝜋0, 3𝑐𝑐, 1000,
𝜋𝜋
2
𝑐𝑐
(5) ABCDEFGH is a regular octagon inscribed in a circle of radius 1 unit. O is the center
of the circle. Find
(i) radian measure of ∠AOB (ii) 𝑙𝑙(chord 𝐴𝐴𝐴𝐴) (iii) 𝑙𝑙(arc 𝐴𝐴𝐴𝐴)
(iv) area of the region enclosed between chord AB and arc AB.
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