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Geometry Sector Area and Arc Length. Warm Up. Find the indicated measure. Sector Area and arc length. The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply
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GeometrySector Area and Arc Length CONFIDENTIAL
Warm Up Find the indicated measure. CONFIDENTIAL
Sector Area and arc length The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply the area of a circle by . CONFIDENTIAL
Sector of a circle CONFIDENTIAL
Finding the Area of the Sector Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. A) sector MPN CONFIDENTIAL
B) sector EFG CONFIDENTIAL
Now You Try! Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. 2) sector JKL 1) sector ACB CONFIDENTIAL
A circular plot with a 720 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 50 ? CONFIDENTIAL
Now You Try! 2) To the nearest square foot, what is the area watered in previous example as the sprinkler rotates through a semicircle ? CONFIDENTIAL
A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment CONFIDENTIAL
Area of a segment = - - area of sector area of triangle = area of segment CONFIDENTIAL
Finding the Area of a Segment Find the area of segment ACB to the nearest hundredth. CONFIDENTIAL
Now You Try! 3) Find the area of segment RST to the nearest hundredth. CONFIDENTIAL
In the same way that the area of a sector is a fraction of the area of the circle ,the length of an arc is a fraction of the circumference of the circle. CONFIDENTIAL
Arc Length CONFIDENTIAL
Finding Arc Length Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL
Now You Try! Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL
Now some problems for you to practice. CONFIDENTIAL
ASSESSMENT Find the area of each segment to the nearest hundredth. 1) CONFIDENTIAL
2) CONFIDENTIAL
3) CONFIDENTIAL
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. 4) CONFIDENTIAL
5) CONFIDENTIAL
REVIEW Sector Area and arc length The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply the area of a circle by . CONFIDENTIAL
Sector of a circle CONFIDENTIAL
Finding the Area of the Sector Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. A) sector MPN CONFIDENTIAL
B) sector EFG CONFIDENTIAL
A circular plot with a 720 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 50 ? CONFIDENTIAL
A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment CONFIDENTIAL
Area of a segment = - - area of sector area of triangle = area of segment CONFIDENTIAL
Finding the Area of a Segment Find the area of segment ACB to the nearest hundredth. CONFIDENTIAL
Arc Length CONFIDENTIAL
Finding Arc Length Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL
You did a great job today! CONFIDENTIAL