Areas of Sector and Segment of a Circle: A sector of a circle is the portion of the circle that is bounded by two radii and the intercepted arc. It is m...
Areas of Sector and Segment of a Circle:
A sector of a circle is the portion of the circle that is bounded by two radii and the intercepted arc. It is measured in terms of the angle formed at the center of the circle.
Segment of a circle is the portion of the circle that is bounded by two radii and the intercepted arc, excluding the endpoints of the radii. It is also measured in terms of the angle formed at the center of the circle.
The total area of a circle is the sum of the areas of all its sectors. The total area of a circle with radius r is pi r^2, where pi is a mathematical constant approximately equal to 3.14.
The perimeter of a circle is the length of its circumference, which is 2πr. The perimeter of a circle with radius r is 2πr.
The area of a sector of a circle is equal to the product of the radius and the measure of the angle formed at the center. The area of a segment of a circle is equal to half the area of the entire circle.
Here are some examples:
The area of a sector of a circle with radius 5 cm is π(5 cm)^2 = 78.5 cm^2.
The area of a segment of a circle with radius 10 cm is half the area of the entire circle, which is 50π cm^2.
The perimeter of a circle with radius 6 cm is 2π(6 cm) = 37.7 cm