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

How to find the length of an arc and sector area: an example

Decide on the radius of your circle.
What will be the angle between the ends of the arc?
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 .

How do you find the length of the arc in a circle?

A circle is 360° all the way around; therefore, if you divide an arc’s degree measure by 360°, you find the fraction of the circle’s circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle’s circumference) by that fraction, you get the length along the arc.

How do you find an arc of a circle area?

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.

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

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 the area of a sector of an arc?

What is the formula for a sector of a circle?

To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Area of a sector of a circle = (θ × r2 )/2 where θ is measured in radians. The formula can also be represented as Sector Area = (θ/360°) × πr2, where θ is measured in degrees.