How do you find the area of a sector with an arc length?
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 does the arc length and sector area differ?
Finding an arc length you find a fraction of the whole circumference of a circle. Finding the area of a sector you find a fraction of the whole area of a circle. The fraction in both cases is the item’s central angle measure divided by the angle measure of one turn.
What is the length of an arc of a sector of a circle?
Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
How do you find the 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?
The area of a sector is the region enclosed by the two radii of a circle and the arc. In simple words, the area of a sector is a fraction of the area of the circle.
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 area of arc?
The area of a sector of circle with radius r is given by Area = (θ/360º) × π r2. The arc length of the sector of radius r is given by Arc Length of a Sector = r × θ
What is the formula for area of a sector calculator?
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 an arc?
How do you find the area of an arc?
Explanation: If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.