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Information about Arc lengths and areas

Published on February 18, 2014

Author: masljr

Source: slideshare.net

Geometry HIgh School, lesson, Circles, Areas, Arc Lengths, Sectors, Introduction, Perimeter, Area, Volume Unit

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Objective: To find partial areas and circumferences of circles.

What you should know… Find the Circumference and the Area of a circle with diameter 10.

WHAT IS? ARC LENGTH An arc length is a fraction of the circumference.

The concept… Can you find the arc length of this Semicircle? What would the arc length be if we just wanted to use a quarter of the circle?

HOW DO WE FIND ARC LENGHTS? With the following proportion: Part of a circumference Whole Circumference circle Arc length пD = Portion of degrees Whole: Degrees in a = Central Angle 360

GUIDED EXAMPLE 1 Find the length of the arc:

Independent example Find the length of the arc AB.

SECTORS What is a sector?

AREA OF A SECTOR FORMULA: AREA OF SECTOR AREA OF CIRCLE = CENTRAL ANGLE 360 AREA OF SECTOR = CENTRAL ANGLE пr2 360

GUIDED EXAMPLE 2 Find the area of the blue section

INDEPENDENT EXAMPLE Find the area of the shaded region.

HOMEWORK WORKBOOK (BLUE BOOK) Pages:

Explains formulas for areas of sectors of circles and lengths of arcs. Demonstrates how to use the formulas in each of degrees and radians.

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Arc Lengths and Areas of Sectors Lesson 11.6 Geometry Honors Objective: Know and use the formulas for Arc Lengths and Areas of Sectors. Lesson Focus This ...

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Created Date: 11/16/2011 9:42:09 AM

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Calculating the lengths of arcs and areas of sectors. The first step is to find the angle made by the arc or sector at the centre of the circle. Once you ...

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Arc Length and Area of a Sector Reporting Category Polygons and Circles . Topic . ... find arc lengths and areas of sectors in circles. Related SOL G.14 .

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U3-106 Lesson 4: Finding Arc Lengths and Areas of Sectors 6/*5 t CIRCLES AND VOLUME Unit 3: Circles and Volume Common Core Georgia Performance Standard

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If you know the arc length. where: L is the arc length. R is the radius of the circle of which the sector is part. Sector area is proportional to arc length

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This PowerPoint and resource pack goes through the higher level working out of areas under sectors of circles, and the lengths of arcs of circles.

Definitions and formulas for the arc and the arc length of a circle, sector and the area of the sector of a circle, the unit circle, the angles on the unit ...

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Students will work in cooperative groups to discover the relationships between arc length, central angle measure, and circumference. They will also ...

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