Test Details

Area Related To Circle

Oct 31, 11:53 AM

60 minutes

Oct 31, 12:53 PM

54.0 marks

MCQ

26 questions

SHREEJI ACADEMY

It is a institute where students will get proper knowledge of maths not by cramming but by understanding the concept.

Class Details

Maths

Science

10th CBSE

Maths

Science

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Question Text

Question 1 :
What is the circumference of a circle whose radius is 8 cm?

Question 2 :
If the area and arc length of the sector of a circle are 60 $cm^2$ and 20 cm respectively, then the diameter of the circle is

Question 3 :
The circumference of a circular field is $528\ m$. Then its area  is

Question 5 :
If one side of a square is 2.4 m. Then what will be the area of the circle inscribed in the square?

Question 6 :
Given, $\displaystyle A = \frac{S}{360}\times \pi r^2$ $A$ is the area of setor, $ S$ is the angle measure in degrees of the sector and $r$ is the radius of the circle. Find $r$ in terms of $A$ and $S$.

Question 7 :
If radius of a circle is increased to twice its original length, how much will the area of the circle increase ?

Question 9 :
What is the minimum radius $(>1)$ of a circle whose circumference is an integer?

Question 10 :
Find the area of equilateral  triangle inscribed in a circle of unit radius.

Question 11 :
State whether True or False:The radius of a circle is $7 cm$, then area of the sector of this circle if the corresponding angle is: $3$ rt. angles is $115.50 \,cm^2$

Question 12 :
A running track is the ring formed by two concentric circles. It is $10\ m$ wide. The circumferences of the two circle differ by about.

Question 13 :
If the sum of the circumferences of two circles with radii $R_1$ and $ R_2$ is equal to the circumference of a circle of radius $R$, then

Question 14 :
If the circumference of a circle is $8$ units and arc length of major sector is $5$ units then find the length of minor sector.

Question 15 :
The length of the minute hand of a clock is $14cm$. If minute hand moves from $1$ to $10$ on the dial, then an area of ................... ${cm}^{2}$ will be covered.

Question 16 :
If the perimeter of a circle is $P$ cm then find the length of an arc of the circle which subtends $\displaystyle 144^{\circ}$ at the centre of the circle (in cm).

Question 17 :
The circumference of a circle exceeds its diameter by $180$ cm. Then  the area of the circle

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 radius of circle is decreased by 10% then there is ................ decrease in its area.

Question 20 :
If the radius of the circle is increased by $100\%$, then the  area is increased by

Question 21 :
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 22 :
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 23 :
If a bicycle wheel makes $5000$ revolution in moving $11$ km, then diameter of wheel 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

Question 26 :
The perimeter of a quadrant of a circle of radius $\dfrac{7}{2}$ cm is:

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