Build a Method 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." 1. In the diagram, the sector's central angle measures degrees and the circle's radius is units. Use the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and radius measure. 1. 2. This image shows a circle with radius and central angle measurements. Find the area of the shaded sector, and the length of the arc defined by the sector. 5 in 160%

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.4: Circumference And Area Of A Circle
Problem 33E
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Build a Method
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."
1. In the diagram, the sector's central angle measures degrees and the circle's radius is units. Use
the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and
radius measure.
1.
2. This image shows a circle with radius and central angle measurements. Find the area of the
shaded sector, and the length of the arc defined by the sector.
5 in
160%
5.
Transcribed Image Text:Build a Method 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." 1. In the diagram, the sector's central angle measures degrees and the circle's radius is units. Use the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and radius measure. 1. 2. This image shows a circle with radius and central angle measurements. Find the area of the shaded sector, and the length of the arc defined by the sector. 5 in 160% 5.
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