Question 1 :
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period $6\ :\ 05\ am$ and $6\ :\ 40\ am$ .
Question 2 :
Find the area of the minor sector of a circle with radius 4 cm and of angle $30^{\circ}$.
Question 3 :
State True or False: Area of segment of a circle = area of the corresponding sector - area of the corresponding triangle.
Question 4 :
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In the above figure , brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors . Find the total length of the silver wire required.
Question 5 :
Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a central angle of $60^{\circ}$ (Use $\pi=3.14$).
Question 6 :
The area of a square inscribed in a circle of diameter $p\ cm$ is $p^2\ cm^2$. Is it true or false?
Question 7 :
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In the above figure , an umbrella has 8 ribs which are equally spaced . Assuming umbrella to be a flat circle of radius 45 cm , find the area between the two consecutive ribs of the umbrella.
Question 8 :
The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h ?
Question 9 :
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding minor segment.(Use $\pi$ =3.14)
Question 10 :
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Find the area of the segment AYB shown in the above image, if radius of the circle is 21 cm and $\angle AOB$ = $120 ^{\circ}$. (Use $\pi$= $\frac{22}{7}$ )
Question 11 :
Find the area of a sector of a circle of radius 21 cm and central angle $120^{\circ}$ .
Question 12 :
A chord of a circle of radius 20 cm subtends an angle of $90^{\circ}$ at the centre. Find the area of the corresponding major segment of the circle (Use $\pi=3.14$).
Question 13 :
A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of $60^{\circ}$ at its centre. Find the radius of the circle.
Question 14 :
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(As shown in the above figure)A round table cover has six equal designs . If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per $cm^2$ . (Use $\sqrt{3}$ = 1.7)
Question 15 :
Find the area of a sector of a circle with radius 6 cm if angle of the sector is $60^{\circ}$.