Questions on Sector

Figure shows a sector of a circle of radius r containing an angle theta^@ The area of the sector is A cm^2 and the perimeter is 50cm. Prove that theta = (360)/pi ((25)/r-1) and A=25r -r^2

If you have a spinning wheel with 3-green sectors, 1-blue sector and 1-red sector. What is the probability of getting a green sector? Is it the maximum?

If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector? (Take pi=22//7 ) (FIGURE)

The central angles of two sectors of circles of radii 7 cm and 21 cm are respectively 120^(@) and 40^(@) . Find the areas of the two sectors as well as the lengths of the corresponding arcs. What do you observe ?

Find the area of the minor segment of a circle of radius 14cm, when the angle of the corresponding sector is 60^(@)

Is it true to say that area of segment of a circle is less than the area of its corresponding sector? Why ?

The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal ? Why ?

A question bank has questions of Physics and Chemistry. The number of questions of Chemistry are 3.5 times the number of questions of Physics. If there are 90 questions in the question , bank find the number of questions of Physics and Chemistry in the question bank .

Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a central angle of 60^(@) . (use pi = 3.14 )

The perimeter of a certain sector of a circle is equal to half that of the circle of which it is a sector. The circular measure of one angle of the sector is