What is the area of the sector of a circle?

Area of a circle is given as π times the square of its radius length. So if a sector of any circle of radius r measures θ, area of the sector can be given by: Area of sector = θ360×πr2.

Why is the area of a circle maximum?

A circle’s area depends on its radius. The area is directly proportional to the square of its radius. Hence more you increase the radius, more will be the area of the circle.

Why does a circle have maximum area?

As in Lemma 2, among all plane curves of fixed length with fixed endpoints, a circular arc encloses a maximum area between it and the line joining its endpoints. Of all polygons with n sides inscribed in a given circle, the regular one has the largest area.

What is the area of a sector of a circle of radius 5cm?

Given, radius = 5 cm and length = 3.5 cm. Therefore, Area of the sector of circle = 8.75 cm².

How do you find area of a sector?

Sector area formula The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.

What is the area of a sector?

Sector Area = r² * α / 2 This is a great starting point. The full angle is 2π in radians, or 360° in degrees, the latter of which is the more common angle unit. Then, we want to calculate the area of a part of a circle, expressed by the central angle.

What is the area and perimeter of a sector?

Perimeter of a Sector The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. In the following diagram, a sector is shown in yellow colour. The perimeter should be calculated by doubling the radius and then adding it to the length of the arc.

How many sectors are in a circle?

two sectors
A circle is divided into two sectors and the divided parts are known as minor sectors and major sectors. The large portion of the circle is the major sector whereas the smaller portion is the minor sector. In the case of semi-circles, the circle is divided into two equal-sized sectors.