# How do you find the arc length and area of a sector?

## How do you find the arc length and area of a sector?

Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm . Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the arc length calculator to find the central angle or the circle’s radius.

## How do you find the length of an arc area of a sector and area of a shaded segment of a circle?

Tips on Area of Sector

- The area of a sector of a circle is the fractional area of the circle.
- The area of a sector of a circle with radius ‘r’ is calculated with the formula, Area of a sector = (θ/360º) × π r2
- The arc length of the sector of radius r can be calculated with the formula, Arc Length of a Sector = r × θ

**What is the formula for arc length of a sector?**

What is the formula for the arc length of the sector of a circle? Let PQ is an arc of a circle of radius r and centre at O if PQ subtends angle 𝜃 at the centre of the circle. Then, the arc length of PQ = 𝜃/360o (2𝜋r), where 𝜃 is measured in degrees.

### What is area of sector of 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 = θ 360 × π r 2.

### What is the relation between the arc length of a sector and the angle at the Centre of a circle?

Arc length = 2πr (θ/360) θ = the angle (in degrees) subtended by an arc at the center of the circle.

**What is the length of arc of the sector whose radius is 15 cm and the intended angle is 30?**

Thus, the length of the arc of the sector is 4 cm.

#### How do you calculate 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.

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

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?**

What is the area of a sector? The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle. Major sector: a major sector has a central angle which is more than 180° 180 ° 180° 180°.

## What is sector of a circle with example?

To recall, a sector is a portion of a circle enclosed between its two radii and the arc adjoining them. For example, a pizza slice is an example of a sector representing a fraction of the pizza.