Measure of an angle subtends by the minute hand during $15$ minute is
- A$15$
- B$45$
- C$60$
- ✓$90$
Answer: D.
View full solution →Question types
Areas Related to Circles question types
38 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
38
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
5 Q→02Fill In The Blanks[1 Marks ]
14 Q→03True False[1 Marks ]
2 Q→041 Marks Question
6 Q→053 Marks Question
6 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.
Area of the sector of the circle of radius $r$ unit and length of arc of one unit is
- A$\frac{\pi r^2 \theta}{360}$
- B$\frac{1}{2} \times$ Base $\times$ Altitude
- ✓$\frac{1}{2} r$
- D$\frac{\pi r^2 \theta}{180}$
Answer: C.
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 →From the figure, shadded region is called.
- AMajor sector
- ✓Minor sector
- CMajor segment
- DMinor segment
Answer: B.
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 →As shown in figure three semicircles are given and $OA = OB =2 cm$ then area of the region is ______ sq. $cm$. $(3 \pi, 5 \pi, \pi)$
View full solution →Radius and chord in a circle are at equal length then angle made by end point of chord at centre is of _______ degree. $\left(30^{\circ}, 60^{\circ}, 90^{\circ}\right)$
View full solution →Measure of an angle at the centre in given hexagon is _______ degrees. $\left(10^{\circ}, 60^{\circ}, 120^{\circ}\right)$
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 →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 →Length of minor arc + length of major arc = circumference of the circle.
If $\theta$ is measure of an angle subtended by corresponding arc at the centre then area of the sector of the circle is $\frac{\theta}{180} \times \pi r^2$.
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 25cm 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 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 $\sqrt 3 = 1.73)$
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 $\sqrt 3 = 1.7)$
View full solution →Find the area of the segment $AYB$ shown in Figure, if the radius of the circle is $21\ cm$ and $\angle AOB = 120^\circ . ($Use $\pi = \frac{22}{7}).$
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