The circumferences of two circles are in the ratio $3 : 4$. The ratio of their areas is:
- A$3 : 4$
- B$4 : 3$
- ✓$9 : 16$
- D$16 : 9$
Answer: C.
View full solution →Question types
Area of Circle, Sector and Segment question types
163 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
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Sample Questions
Area of Circle, Sector and Segment questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The length of an arc of the sector of angle $\theta^\circ$ of a circle with radius $R$ is:
- A$\frac{2\pi\text{R}\theta}{180}$
- ✓$\frac{2\pi\text{R}\theta}{360}$
- C$\frac{\pi\text{R}^2\theta}{180}$
- D$\frac{\pi\text{R}^2\theta}{360}$
Answer: B.
View full solution →The length of the minute hand of a clock is $21\ cm$. The area swept by the mmute hand in $10$ minutes is
- ✓$ 231 \mathrm{~cm}^2 $
- B$ 210 \mathrm{~cm}^2 $
- C$ 126 \mathrm{~cm}^2 $
- D$ 252 \mathrm{~cm}^2$
Answer: A.
View full solution →If the sum of the areas of two circles with radii $R1$ and $R2$ is equal to the area of a circle of radius $R$, then:
- A$\text{R}_1+\text{R}_2=\text{R}$
- B$\text{R}_1+\text{R}_2<\text{R}$
- C$\text{R}_1^2+\text{R}_2^2<\text{R}^2$
- ✓$\text{R}_1^2+\text{R}_2^2=\text{R}^2$
Answer: D.
View full solution →If the circumference of a circle and the perimeter of a square are equal, then:
- AArea of the circle = area of the square
- ✓(area of the circle) > (area of the square)
- C(area of the circle) < (area of the square)
- DNone of these
Answer: B.
View full solution →In the given figure, an equilateral triangle has been inscribed in a circle of radius $4\ cm.$ Find the area of the shaded region. $\big[\text{Take }\pi=3.14\text{ and }\sqrt{3}=1.73.\big]$
View full solution →The difference between the circumference and radius of a circle is $37\ cm$. Using $\pi=\frac{22}{7},$ find the circumference of the circle.
View full solution →The radii of two circles are $19\ cm$ and $9\ cm$ Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
View full solution →The perimeter of a sector of a circle of radius $5.6\ cm$ is $27.2\ cm.$ Find the area of the sector.
View full solution →The area of the sector of a circle of radius $10.5\ cm,$ is $69.3\ cm^2$. Find the central angle of the sector.
View full solution →The circumference of a circle exceeds its diameter by $45\ cm.$ find the circumference of the circle. $\Big[\text{Use }\pi=\frac{22}{7}\Big]$
View full solution →Find the lengths of the arcs cut off from a circle of radius $12\ cm$ by a chord $12\ cm$ long. Also, find the area of the minor gment. $\big[\text{Take }\pi=3.14\text{ and }\sqrt{3}=1.73.\big]$
View full solution →In the given figure, find the area of the shaded region, if $ABCD$ is a square of side $14\ cm$ and $APO$ and $BPC$ are semicircles.
View full solution →Find the area of the sector of a circle having radius $6\ cm$ and of angle $30^\circ . \big[\text{Take }\pi=3.14\big]$
View full solution →The wheels of a car make $2500$ revolutions in covering a distance of $4.95\ km.$ Find the diameter of a wheel.$\Big[\text{Use }\pi=\frac{22}{7}\Big]$
View full solution →Find the area of a quadrant of a circle hose circumference is$ 44\ cm.$
View full solution →Four equal circles, each of radius $5\ cm$, touch each other, as shown in the figure. Find the area included between them. $[\text{Take }\pi\ =3.14]$
View full solution →Find the perimeter of the $s$ ded region in the figure, if $A B C D$ is a square of side $14 \ cm$ and $A P B$ and $C P D$ are
View full solution →The side of a square is 10cm. Find $(i)$ the area of the inscribed circle, and $(ii)$ the area of the circumscribed circle. $[\text{Take }\pi\ =3.14]$
View full solution →In the given figure, $PQ$ and $AB$ are respectively the arcs of two concentric circles of radii $7\ cm$ and $3.5\ cm$ with centre $0$. If $\angle\text{POQ}=30^\circ,$ find the area of the shaded region.
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