The hour hand of a clock is $6\ cm$ long. The area swept by it between $11.20\ am$ and $11.55\ am$ is:
- A$2.75\ cm^2$
- ✓$5.5\ cm^2$
- C$11\ cm^2$
- D$10\ cm^2$
Answer: B.
View full solution →Question types
Areas Related to Circles question types
198 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
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.
If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of $\pi,$ is:
- A$\pi:\sqrt{3}$
- ✓$2:\sqrt{\pi}$
- C$3:\pi$
- D$\pi:\sqrt{2}$
Answer: B.
View full solution →The radius of a circle is $20\ cm.$ It is divided into four parts of equal area by drawing three concentric circles inside it. Then, the radius of the largest of three concentric circles drawn is:
- A$10\sqrt{5}\text{cm}$
- ✓$10\sqrt{3}\text{cm}$
- C$10\sqrt{5}\text{cm}$
- D$10\sqrt{2}\text{cm}$
Answer: B.
View full solution →The area of a circle whose area and circumference are numerically equal, is:
- A$2\pi\text{sq. units}$
- ✓$4\pi\text{sq. units}$
- C$6\pi\text{sq. units}$
- D$8\pi\text{sq. units}$
Answer: B.
View full solution →If the radius of a circle is diminished by $10\%,$ then its area is diminished by:
- A$10\%$
- ✓$19\%$
- C$20\%$
- D$36\%$
Answer: B.
View full solution →Find the circumference of a circle whose area is $301.84\ cm^2.$
View full solution →A sector is cut-off from a circle of radius 21cm. The angle of the sector is 120°. Find the length of its arc and the area.
AB is a chord of a circle with centre O and radius 4cm. AB is of length 4cm. Find the area of the sector of the circle formed by chord AB.
The minute hand of a clock is $\sqrt{21}\text{cm}$ long. Find the area described by the minute hand on the face of the clock between 7:00 AM and 7:05 AM.
View full solution →What is the area of a square inscribed in a circle of diameter $p\ cm$?
View full solution →Write the formula for the area of a segment in a circle of radius r given that the sector angle is $\theta$ (in degrees).
View full solution →In the following figure, ABCD is a rectangle with AB = 14cm and BC = 7cm. Taking DC, BC and AD as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region.
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.$\Big(\text{Use }\pi=\frac{22}{7}\Big).$
View full solution →The perimeter of a certain sector of a circle of radius 5.6m is 27.2m. Find the area of the sector.
A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in the following figure. If $AB = 60\ m$ and $BC = 28\ m$, find the area of the plot.
View full solution →The length of minute hand of a clock is 5cm. Find the area swept by the minute hand during the time period 6:05 AM and 6:40 AM.
A chord of a circle of radius 20cm subtends an angle of 90° at the centre. Find the area of the corresponding major segment of the circle.$(\text{Use }\pi=3.14)$
View full solution →A chord of a circle of radius $14cm$ makes a right angle at the centre. Find the areas of the minor and major segments of the circle.
View full solution →A chord PQ of length 12cm subtends an angle of 120° at the centre of a circle. Find the area of the minor segment cut off by the chord PQ.
In the following figure, ABC is a right-angled triangle,$\angle\text{B}=90^\circ,$ $AB = 28\ cm$ and $BC = 21\ cm$.
With $AC$ as diameter a semicircle is drawn and with $BC$ as radius a quarter circle is drawn.
Find the area of the shaded region correct to two decimal places.
View full solution →With $AC$ as diameter a semicircle is drawn and with $BC$ as radius a quarter circle is drawn.
Find the area of the shaded region correct to two decimal places.
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