1 / 5

Areas of Circles, Sectors and Segments Lesson 11.6

Areas of Circles, Sectors and Segments Lesson 11.6. As you remember, the area of a circle is. A = r 2. Definition of the Area of a Sector: a region bound by 2 radii and an arc. H. Sector HOP. O. P. O. Theorem108 : A sec = ( mHP) r 2. 360.

avari
Download Presentation

Areas of Circles, Sectors and Segments Lesson 11.6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Areas of Circles, Sectors and SegmentsLesson 11.6

  2. As you remember, the area of a circle is A = r2 Definition of the Area of a Sector: a region bound by 2 radii and an arc. H Sector HOP O P O

  3. Theorem108: A sec = (mHP)r2 360 Where r is the radius and the arc HP is measured in degrees. Find the area, leave in terms of . 12m A = 60π(122) 360 A = 24π m2 60º

  4. X Z Y Area of a segment: a segment is a region bound by a chord and its corresponding arc. The area of a segment is equal to the area of the sector - the area of the triangle.

  5. X Z Y Given arc XY is 90º and ZX = 8 Find the shaded area. Segment = sector – triangle = 90π(82) – ½(8)(8) 360 = 16π– 32 units2

More Related