## 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).