From the figure, shadded region is called.
- AMajor sector
- ✓Minor sector
- CMajor segment
- DMinor segment
Answer: B.
View full solution →Question types
Areas Related to Circles question types
83 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
83
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
45 Q→02Fill In The Blanks[1 Marks ]
8 Q→031 Marks Question
6 Q→043 Marks Question
5 Q→05Match The Following.
14 Q→064 Marks Questions
5 Q→Sample Questions
Areas Related to Circles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A quadrant of a circle of radius $2 cm$ is cut also a circle of diameter $4 cm$ is cut from the middle of the square handkerchief. Sum of all areas $P+Q+R+S=A_1$ then __________ is possible.
- ✓$A _1= A _2$
- B$A _1< A _2$
- C$A _1 \neq A _2$
- D$A _1> A _2$
Answer: A.
View full solution →What does the non - shaded area represents in the following circle ?
- AMinor sector
- ✓Major sector
- CSegments
- Dnor arc
Answer: B.
View full solution →Length of one fourth arc of the sector of the circle with radius $28 cm$ is __________
- ✓$14 \pi$
- B$28 \pi$
- C$7 \pi$
- D$36 \pi$
Answer: A.
View full solution →Area of the sector of the circle of radius $r$ unit and length of arc of one $l$ unit is _________ .
- A$\frac{\pi r^2 \theta}{360}$
- B$\frac{1}{2} \times$ Base $\times$ Altitude
- ✓$\frac{1}{2} l r$
- D$\frac{\pi r^2 \theta}{180}$
Answer: C.
View full solution →_________ is the length of an arc. If the area of the sector of the circle is $150\ cm$ and radius is $15 cm$.$(\pi=3.14)$ $(15,20,25)$
View full solution →The length of the minute hand of a clock is $14\ cm$. Find the area swept by the minute hand from $2$ to $11$ on the circular clock. $(462,308,330)$
View full solution →The length of the minute hand of a clock is $15 cm$. Find the area swept by the minute hand in 20 minutes. $(\pi=3.14)(471,235.5,75.55)$
View full solution →________ is the area of a sector by radius $5 cm$ if radius makes a right angle. $\left(\frac{25 \pi}{2}, \frac{25 \pi}{3}, \frac{25 \pi}{4}\right)$
View full solution →Find the length of the major arc. If radius of a circle is $7 cm$ and length of the minor arc is $11 cm$. $(22,44,33)$
View full solution →The length of the minute hand of a clock is $14\ cm$. Find the area swept by the minute hand in $5$ minutes.
View full solution →Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is
View full solution →To warm ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $80^\circ$ to a distance of $16.5\ km$. Find the area of the sea over which the ships are warned. (use $ \pi = 3.14 )$
View full solution →A car has two wipers which do not overlap. Each wiper has a blade of length $25\ cm$ sweeping through an angle of $115^\circ$. Find the total area cleaned at each sweep of the blades.
View full solution →An umbrella has $8$ ribs which are equally spaced (see figure). Assuming umbrella to be a flat circle of radius $45\ cm$, Find the area between the two consecutive ribs of the umbrella.
View full solution →A 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 as shown in figure. Find:
View full solution →- the total length of the silver wire required.
- the area of each sector of the brooch.
A horse is tied to a peg at one corner of a square shaped grass field of side $15\ m$ by means of a $5\ m$ long rope. Find
View full solution →- the area of that part of the field in which the horse can graze.
- the increase in the grazing area if the rope were $10\ m$ long instead of $5\ m ($Use $\pi = 3.14)$
A chord of a circle of radius $10\ cm$ subtends a right angle at the centre. Find the area of the corresponding:
View full solution →- minor segment
- major sector.
Find the area of a quadrant of a circle whose circumference is $22\ cm.$
View full solution →Find the area of the sector of a circle with radius $4 \ cm$ and of angle $30^\circ .$ Also, find the area of the corresponding major sector.$($use $ \pi =3.14 )$
View full solution →| $A$ | $B$ |
| $Q.1.$ The great mathematical genius _______ of India gave the value of $\pi= 3.146.$ | $(a)$ Aryabhatta |
| $Q.2.$ The circumference of a circle with diameter $1\ cm$ is _______ $cm$ | $(b)$ Shrinivas Ramanujan |
| $(c) \pi$ |
| $A$ | $B$ |
| $Q.1.$ Which number is $\pi?$ | $(a)$ Shrinivas Ramanujan |
| $Q.2.$ The great mathematical genius ______ of India have been able to calculate the value of $\pi$ correct to million places of decimals. | $(b)$ Irrational |
| $(c)$ Aryabhatta |
| $A$ | $B$ |
| $Q.1.$ The region enclosed by the chord and its corresponding arc is called a _____. | $(a)$ sector |
| $Q.2.$ The circular region enclosed by two radii and the corresponding arc is called a _________. | $(b) $ segment |
| $(c)$ Diameter |
| $A$ | $B$ |
| $Q.1.$ Length of an arc of a sector of an angle $\theta$ is ______ | $(a) \frac{\pi r}{180}$ |
| $Q.2. A$ and $B$ are two distinct points on the circle. The set of all points of a circle in the any closed halfplane of $AB$ is called ________. | $(b) arc$ |
| $(c) l=\frac{2 \pi r \theta}{360}$ OR $l=\frac{\pi r \theta}{180}$ |
| $A$ | $B$ |
| $Q.1.$ The area of sector of a circle with radius e and of angle $1^\circ $ is ________ | $(a) \frac{\pi r^2}{360}$ |
| $Q.2.$ In the given figure the shaded region is called. |
$(b) \frac{\pi r^2 \theta}{360}$ |
| $(c)$ minor sector |
A chord of a circle of radius $12 \ cm$ subtends an angle of $120^\circ$ at the center. Find the area of the corresponding segment of the circle. (Using $\pi = 3.14$ and $\sqrt3 = 1.73)$
View full solution →A chord of a circle of radius $15 \ cm$ subtends an angle of $60^\circ$ at the center. Find the areas of the corresponding minor and major segments of the circle. (Use $\pi = 3.14$ and $\sqrt3 = 1.73)$
View full solution →In a circle of radius $21 \ cm$, an arc subtends an angle of $60^\circ$ at the center. Find:
View full solution →- the length of the arc.
- area of the sector formed by the arc.
- area of the segment formed by the corresponding chord
A round table cover has six equal designs as shown in figure. If the radius of the cover is $28 \ cm,$ find the cost of making the designs at the rate of $ ₹ 0.35\ per\ cm^2$. (use $\sqrt3 = 1.7)$
View full solution →Find the area of the segment $AYB$ shown in Figure, if the radius of the circle is $21 \ cm$ and $\angle AOB = 120°. (Use \pi = \frac{22}{7} ). $
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