# Sector of a Circle

## Trending Questions

**Q.**In fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC=40∘. (Use π=227)

**Q.**

Define Major Segment of a Circle.

**Q.**What is a locus

**Q.**In fig., arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10 cm, to intersect the sides BC, CA and AB at their respective mid-points D, E and F. The area of the shaded region is _____. (Use π=3.14).

- 37.25 cm2
- 38.25 cm2
- 39.25 cm2
- 40.25 cm2

**Q.**

Sector is the region between the chord and its corresponding arc. Write True or False. Give reason for your answer

- True
- False

**Q.**

The perimeter of a certain sector of a circle of radius$5.6\mathrm{m}$ is$27.2\mathrm{m}$. Find the area of the sector.

**Q.**A chord PQ of a circle with radius 6 cm subtends an angle of 60o with the centre of the circle. The area of the minor and the major segment are _____ and _____ respectively.

(Use π=3.14, √3=1.73 )

- 3.27 cm2, 113.04 cm2

- 113.04 cm2, 3.27 cm2
- 3.27 cm2, 109.77 cm2
- 109.77 cm2, 3.27 cm2

**Q.**

The longest chord of a circle is $18\text{cm}$. What is the radius of the circle?

**Q.**The length of the hour hand of a clock is 7cm. Find the area swept by the hour hand during the time 6:00AM to 6:45 AM

**Q.**

A solid figure with only $1$ vertex is a

**Q.**In the given figure, A is the centre of the circle. ∠ABC=45o and AC=7√2cm. Find the area of segment BXC. (Use π=227 )

- 27 cm2
- 28 cm2
- 29 cm2
- 26 cm2

**Q.**The area of a circle circumscribing a square of side 14 cm is:

(Take π = 227)

[1 mark]

- 308cm2
- 408cm2
- 154cm2
- 204cm2

**Q.**

The diameter of a tyre of a tricycle is $32\text{cm}$. What is the radius of the tyre ?

**Q.**Chord PQ of a circle of radius 6 cm subtends an angle of 60o at the centre O. Find the area of the minor segment and major segment respectively.

(Use π=3.14, √3=1.73 )

- 3.27 cm2, 113.04 cm2

- 113.04 cm2, 3.27 cm2
- 3.27 cm2, 109.77 cm2
- 109.77 cm2, 3.27 cm2

**Q.**

A circle of radius $3cm$ can be drawn through two points $A,B$ such that$AB=6cm$. Write True or False and justify your answer in each of the following:

- True
- False

**Q.**

A sector of angle $40\xb0$ is cut out from a circle. If the area of the sector is $\frac{77}{18}{\mathrm{m}}^{2}$, find the radius of the circle.

**Q.**Q29. The length of the hour hand of a clock is 7cm. Find the area swept by the hour hand during the time 6:00I4\rbrack AM to 6:45 AM.

**Q.**A set of points equidistant from a fixed point in a plane figure is called

- circle
- none of these
- square
- triangle

**Q.**The region bounded by the major arc and radii is called the

- major sector
- minor sector
- major segment
- minor segment

**Q.**In the given figure, O is the centre of the sector. ∠ROQ=∠MON=60o. OR = 7 cm, and OM = 21 cm. The sum of the lengths of arc RXQ and arc MYN is _____. (Use π=227 )

- 7.33 cm

- 22 cm
- 29.33 cm
- 36.66 cm

**Q.**Choose the major sector in the given figure.

**Q.**The areas of the major and the minor sector of a circle are equal when the central angle is

- 90∘
- 180∘
- 60∘

**Q.**

**Question 9**

The area of two sector of two different circles with equal corresponding arc lengths are equal . Is this statement true ? why?

**Q.**The geometric shape that has no corners is _____.

- square
- rectangle
- circle
- hexagon

**Q.**Area of sector whose radius is 14 cm and length of its corresponding arc is 20 cm is

**Q.**

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115∘. Find the total area in cm2 cleaned at each sweep of the blades. [2 MARKS]

**Q.**Find the area of the shaded region in the given figure BC=BD=8 cm, AC=AD=15 cm and O is the centre of the circle (Take π=3.14)

**Q.**The areas of the major and the minor sector of a circle are equal when the central angle is

- 90∘
- 180∘
- 60∘

**Q.**In the given figure, O is the centre of the sector. ∠ROQ=∠MON=60o. OR = 7 cm, and OM = 21 cm. The sum of the lengths of arc RXQ and arc MYN is _____. (Use π=227 )

- 7.33 cm

- 22 cm
- 29.33 cm
- 36.66 cm

**Q.**

Find the area of a shaded region in the Fig. where a circular arc of radius 7 cm has been drawn with vertex A of an equilateral triangle ABC of side 14 cm as centre. (Use pi=227 and √3=1.73)

(2 marks)