# What is the sector in a circle?

## What is the sector in a circle?

A circular sector, also known as circle sector or disk sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

What is the formula for perimeter of a sector of a circle?

The formula for the perimeter of a sector is 2r[1 + (θ*π)/180]. The maximum possible value θ can reach is 360o. But at θ = 360, there will be no sector, it will be a complete circle.

### What is the formula for length of a sector?

A central angle which is subtended by a major arc has a measure larger than 180°. The arc length formula is used to find the length of an arc of a circle; ℓ=rθ ℓ = r θ , where θ is in radian. Sector area is found A=12θr2 A = 1 2 θ r 2 , where θ is in radian.

How do you find the area and perimeter of a sector?

Adding the two radii arm with the length of the arc results in the total perimeter of the sector that is equivalent to Ps=2πr×(θ360)+2r. The formula can be used to determine the perimeter of any part of the circle (for all the sectors of a circle) depending on the angle subtended in the center.

## What is the formula of minor sector?

When the angle subtended at the center is given in degrees, The area of a sector can be calculated using the following formula, area of a sector of circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, r is the radius of the circle.

How do you name a sector of a circle?

To name a sector, use one arc endpoint, the center of the circle and then the other arc endpoint. A circle has radius of 4 in.

### How do you find the sector area of a circle?

A sector in a circle is the region bound by two radii and the circle. Since it is a fractional part of the circle, the area of any sector is found by multiplying the area of the circle, π × r 2, by the fraction x /360, where x is the measure of the central angle formed by the two radii.

Can you derive the formula for the area of a circle?

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc.

## What is a major sector of a circle?

A sector of a circle is called a major sector if the major arc of the circle is a part of its boundary. In Fig. sector OACB is the major sector. Following are some important points to remember: the centre of the circle, whereas a major sector has no angle.

What is the formula to calculate the area of a circle?

Area of a circle. The formula for the area of a circle is 2 x π x radius, but the diameter of the circle is d = 2 x r, so another way to write it is 2 x π x (diameter / 2).