Circular Sectors

Circular Sector

A circular sector is the portion of a circle bounded by two radii.

Circular Sector Area

Area of a Circular Sector

Area of a Circular Sector Formula

Arc Length

Arc Length

Arc Length Formula

Examples

Find the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius.

Area of a Circular Sector



Circle Exercise

The area of a circular sector of 90° is 4π cm. Find the radius and the length of the circle to which it belongs.

Circle Exercise

Circle Exercise

Circle Exercise

Circle Exercise


Calculate the area of a circular sector whose chord is the side of an inscribed equilateral triangle in a circle with a 2 cm radius.

Area of a Circular Sector



Circle Exercise


The rope that attaches a swing to a tree is 1.8 m long and the maximum difference between trajectories is an angle of 146°. Calculate the maximum distance travelled by the seat of the swing when the swing angle is described as the maximum.

Circle Exercise

A lighthouse sweeps its light across the horizon of the ocean at an angle of amplitude of 128 degrees. If the maximum range of the beacon is 7 miles, what is the maximum length of the corresponding arc?

Circle Exercise