Test Details

Areas Related To Circles

Test

Jan 17, 3:40 PM

40 minutes

Jan 17, 5:00 PM

30.0 marks

MCQ

15 questions

SURYA KANT SHARMA

...

Class Details

Maths

Devanshi's Class 10th

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Question Text

Question 1 :
The wheels of a car are of diameter 80 cm. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per h?

Question 2 :
Find the area of a sector of a circle with radius 6 cm if angle of the sector is $60^{\circ}$.

Question 3 :
Find the area of the major sector of a circle with radius 4 cm and of angle $30^{\circ}$.

Question 4 :
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding major sector.(Use $\pi$=3.14)

Question 5 :
The area of the square that can be inscribed in a circle of radius 8 cm is

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bb5273b2305849799fc.png' /> Find the area of the shaded region in the above figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

Question 7 :
Area of a sector of angle p (in degrees) of a circle with radius R is

Question 8 :
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 9 :
Find the area of the minor sector of a circle with radius 4 cm and of angle $30^{\circ}$.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19ba9273b2305849799ed.png' /> 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 :
The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is it true or false?

Question 12 :
If $\theta$ is the angle (in degrees) of a sector of a circle of radius $r$, then area of the sector is

Question 13 :
In a circle of radius 21 cm , an arc subtends an angle of $60^{\circ}$ at the centre. Find area of the sector formed by the arc.

Question 14 :
The area of a square inscribed in a circle of diameter $p\ cm$ is $p^2\ cm^2$. Is it true or false?

Question 15 :
Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a central angle of $60^{\circ}$ (Use $\pi=3.14$).

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