Test Details

Areas Related to Circles

Dec 03, 4:00 PM

90 minutes

Dec 03, 5:00 PM

50.0 marks

MCQ

25 questions

Sheeja N

P. G, B.Ed in Maths

Class Details

English

Mathematics

Class 10

English

Mathematics

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Question Text

Question 1 :
If the radius of a circle is $\dfrac{7}{\sqrt{\pi}}$, what is the area of the circle (in $cm^2$)?

Question 2 :
The area of a circle is $24.64$. $\displaystyle m^{2}$ What is the circumference of the circle ?

Question 4 :
The diameter of a circle is divided into n equal parts.On each part a semicircle is constructed. as n becomes very large, the sum of the lengths of the arcs of the semicircles approaches a length:

Question 5 :
A cord in the form of square encloses the area 'S'$ \displaystyle cm^{2} $ If the same cord is bent into the form of a circle then the area of the circle is

Question 7 :
State true or false: Sector is the region between the chord and its corresponding arc.

Question 8 :
In a circle with radius $5.7\ cm$, the perimeter of a sector is $27.2\ cm$. Find the area of this sector.

Question 9 :
A rectangular sheet of acrylic is 50 cm by 25 cm . From it 60 circular buttons, each of diameter 2.8 cm have been cut out. The area of the remaining sheet is

Question 10 :
A circular disc of radius 10 cm is divided into sectors with angles $ \displaystyle 120^{\circ}   $ and  $ \displaystyle 150^{\circ}   $ then  the ratio of the areas of two sectors is

Question 11 :
If the sum of the areas of two circles with radii $R_1$ and $R_2$ is equal to the area of a circle of radius R, then

Question 12 :
If the circumference of a circle is$\displaystyle \frac{30}{\pi }$ then the diameter of the circle is

Question 14 :
A sector with acute central angle q is cut from a circle of diameter 14 cm. The area(in = $ cm^2$ )of the circle circumscribing the sector is

Question 15 :
The minute hand of a clock is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$A.M and $9.35$A.M.

Question 16 :
The radius of a circle is $3.5$ cm and area of the sector is $3.85$ $cm^2$. Find the length of the corresponding arc.

Question 17 :
The minute hand of a clock is $8\: cm$ long. Find the area swept by the minute hand between $8.30\: a.m.$ and $9.05\: a.m.$

Question 18 :
The area of the part of the square filed in which a horse tied to a fixed pole at one comer by means of a $10\ m$ rope, can graze is 

Question 19 :
If a sector of a circle of diameter 21 cm subtends an angle of $120^{\circ}$ at the centre, then what is its area ? 

Question 20 :
The cost of fencing a circular field at the rate of $Rs\:.240\: per\: metre$ is $Rs. \: 52,800$ . The field is to be ploughed at the rate of $Rs. 12.50 \: per \: m^{2}$. Find the cost of ploughing the field.

Question 21 :
If a bicycle wheel makes $5000$ revolution in moving $11$ km, then diameter of wheel is

Question 22 :
A sphere with diameter $50$ cm intersects a plane $14$ cm from the center of the sphere. What is the number of square centimeters in the area of the circle formed?

Question 23 :
The area of a sector of a circle of angle $\displaystyle 60^{\circ}$ is $\displaystyle \frac{66}{7}cm^{2}$ then the area of the corresponding major sector is

Question 24 :
The ratio of the slant height of two right cones of equal base is 3 : 2 then the ratio of their volumes is

Question 25 :
A wire bent in the form a square incloses an area of 484 $\displaystyle m^{2}$ but if the same wire is bent in the form of a circle the area enclosed will be

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