Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
Evaluate mentally.
A sector of a circle is the region enclosed by two radii.
A
B
C
For each circle, find the area of the shaded sector and the length of the arc that outlines the sector. All units are centimeters. Give your answers in terms of
Mai says, “I know how to find the area of a sector or the length of an arc for central angles like 180 degrees or 90 degrees. But I don’t know how to do it for central angles that make up more complicated fractions of the circle.”
A sector of a circle is the region enclosed by two radii. To find the area of a sector, start by calculating the area of the whole circle. Divide the measure of the central angle of the sector by 360 to find the fraction of the circle represented by the sector. Then multiply this fraction by the circle’s total area. We can use a similar process to find the length of the arc lying on the boundary of the sector.
The circle in the image has a total area of
A sector is the region inside a circle between two radii.
In this diagram, the shaded region shows one sector of the circle.
Help us improve by sharing suggestions or reporting issues.