Area of Sector

Q.

The length of the minute hand of a clock is 14 cm. Find the area in ${cm}^2$ swept by the minute hand in 5 minutes.

1. 51.3

2. 55.1

3. 60.2

4. 70.8

Q.

How would you go about finding the area of the major sector?

1. Area of circle - Area of minor sector

2. Area of circle + Area of minor sector

3. Perimeter of the minor sector x radius

4. Perimeter of major sector x perimeter of minor sector

Q.

Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.

1. 19.64 $c{m}^2$

2. 12.5 $c{m}^2$

3. 7.14 $c{m}^2$

4. 8.8 $c{m}^2$

Q.

The area of a sector with radius 14 cm is 154 $c{m}^2$. The central angle of the sector (in degrees) is

1. 90${}^{\circ }$

2. 180${}^{\circ }$

3. 45${}^{\circ }$

4. 270${}^{\circ }$

Q.

State true or false.
The area in $c{m}^2$ of a sector of a circle with radius 6 cm and angle of the sector ${60}^{\circ }$ is 20.

1. True

2. False

Q.

A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of ${120}^{\circ }$. If the length of the wiper is 35 cm and length of the blade is 28 cm, find the total area(in $c{m}^2$) cleaned for each sweep.

___

Q.

In a restaurant, WiFi signal has to be provided only to the deluxe class. Signal reaches each of the customer upto a distance of 21 m from the antenna and the total area for which signal to be provided is 231 $m^2$. What is the angle (in degrees) at which the signal has to be spread over a sector by the antenna?

1. 60

2. 180

3. 45

4. 90

Q.

Find the area of the sector in a clock swept by the minute hand in five minutes if the radius is 14 cm.

$\left(Take\pi as\frac{22}{7}\right)$

1. $616c{m}^2$

2. $51.33c{m}^2$
3. $42c{m}^2$
4. None of the above

Q.

The area of a sector (in $c{m}^2$ )of a circle with radius 6 cm if angle of the sector is ${70}^{\circ }$ will be __ . ( Take $\pi$ = $\frac{22}{7}$)

Q. Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is

1. 
2. 
3. 
4.