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

  1. The area of a sector of a circle is the fractional area of the circle.
  2. The area of a sector of a circle with radius ‘r’ is calculated with the formula, Area of a sector = (θ/360º) × π r2
  3. 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.

How do you find an area of a sector?