If the difference between the circumference and the radius of a circle is $37 \ cm ,$ then using $\pi=\frac{22}{7}$, the circumference $($in $cm )$ of the circle is:
- A$144$
- ✓$44$
- C$14$
- D$7$
Answer: B.
View full solution →Question types
Areas Related to a Circle question types
64 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
64
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
32 Q→021 Marks Question
1 Q→032 Marks Questions
6 Q→043 Marks Question
20 Q→055 Marks Questions
5 Q→Sample Questions
Areas Related to a Circle questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The circumference of a circle is $22 \ cm .$ The area of its quadrant $($in $cm ^2 )$ is
- A$\frac{77}{2}$
- B$\frac{77}{4}$
- ✓$\frac{77}{8}$
- D$\frac{77}{16}$
Answer: C.
View full solution →If the perimeter of a circle is half to that of a square, then the ratio of the area of the circle to the area of the square is
- A$22: 7$
- B$11: 7$
- C$7: 11$
- ✓$7: 22$
Answer: D.
View full solution →The area of a square that can be inscribed in a circle of area $\frac{1408}{7} cm^2$ is
- A$321 cm^2$
- B$642 cm^2$
- ✓$128 cm^2$
- D$256 cm^2$
Answer: C.
View full solution →The minute hand of a clock is $84 \ cm$ long. The distance covered by the tip of minute hand from $10: 10 \ am$ to $10: 25 \ am$ is
- A$44 \ cm$
- B$88 \ cm$
- ✓$132 \ cm$
- D$176 \ cm$
Answer: C.
View full solution →Find the area of the sector of a circle of radius $6 \ cm$ whose central angle is $30^{\circ}. ($Take $\pi=3.14 )$
View full solution →In the given figure, $\text{ABCD}$ is a square of side $14 \ cm .$ Semi$-$circles are drawn with each side of square as diameter. Find the area of the shaded region.
$\left(\text { Use } \pi=\frac{22}{7}\right)$
View full solution →$\left(\text { Use } \pi=\frac{22}{7}\right)$
In the given figure, a square $0\ \text{ ABC}$ is inscribed in a quadrant $O P B Q$ of a circle. If $O A=20 \ cm, $ find the area of the shaded region. $($Use $\pi=3.14$ )
View full solution →Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions $14 cm \times 7 cm$. Find the area of the remaining card board.$\left[\right.$ Use $\left.\pi=\frac{22}{7}\right]$
View full solution →In the given figure $,\text{ ABCD}$ is a square of side $4 \ cm$ . A quadrant of a circle of radius $1 \ cm$ is drawn at each vertex of the square and a circle of diameter $2 \ cm$ is also drawn. Find the area of the shaded region. $($Use $\pi=3.14 )$
View full solution → Find the area of a quadrant of a circle, where the circumference of circle is $44 \ cm . [$Use $\pi=\frac{22}{7} ]$
View full solution →In the given figure, $\text{OACB}$ is a quadrant of a circle with centre $O$ and radius $3.5 \ cm$ . If $O D=2 \ cm$, find the area of the shaded region.
View full solution →Three semicircles each of diameter $3 \ cm$ , a circle of diameter $4.5 \ cm$ and a semicircle of radius $4.5 \ cm$ are drawn in the given figure. Find the area of the shaded region.
View full solution →In the given figure, are shown two arcs $\text{PAQ}$ and $\text{PBQ}$. Arc $\text{PAQ}$ is a part of circle with centre $O$ and radius $OP$ while arc $\text{PBQ}$ is a semi $-$ circle drawn on $PQ$ as diameter with centre $M$. If $OP = PQ =10 \ cm$ show that area of shaded region is $25\left(\sqrt{3}-\frac{\pi}{6}\right) \ cm ^2$
View full solution →In the given figure, find the area of the shaded region, enclosed between two concentric circles of radii $7 \ cm$ and $14 \ cm$ where $\angle \text{AOC}=40^{\circ}. ($Use $\left.\pi=\frac{22}{7}\right)$
View full solution →In the given figure, $\text{PSR, RTQ}$ and $\text{PAQ}$ are three semicircles of diameters $10 \ cm, 3 \ cm$ and $7 \ cm$ respectively. Find the perimeter of the shaded region. Use $\pi=3.14$
View full solution →In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where $O$ and $O$ are centres of the circles. Find the area of shaded region.
View full solution →A chord $P Q$ of a circle of radius 10 cm subtends an angle of $60^{\circ}$ at the centre of circle. Find the area of major and minor segments of the circle.
View full solution →In the given figure, ABCD is a rectangle of dimensions $21 cm \times 14 cm$. A semicircle is drawn with BC as diameter. Find the area and the perimeter of the shaded region in the figure.
View full solution →An elastic belt is placed around the rim of a pulley of radius 5 cm. (given figure). From one point C on the belt, the elastic belt is pulled directly away from the centre $O$ of the pulley until it is at $P , 10 cm$ from the point O . Find the length of the belt that is still in contact with the pulley. Also find the shaded area. ( Use $\pi=3.14$ and $\sqrt{3}=1.73)$
View full solution →In the given figure, is shown a sector $OAP$ of a circle with centre $O$, containing $\angle \theta . AB$ is perpendicular to the radius $O A$ and meets $O P$ produced at B. Prove that the perimeter of shaded region is $r\left[\tan \theta+\sec \theta+\frac{\pi \theta}{180}-1\right]$
View full solution →Generate a Areas Related to a Circle paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.