1 / 6

Symmetry in Circles (II)

Symmetry in Circles (II). Chords. A chord is a line connecting any two points on the circumference. chord. The biggest possible chord is the. diameter. Chords & Radii. When a radius is drawn through the middle of a chord the angle formed is 90 ° . |. |.

jin
Télécharger la présentation

Symmetry in Circles (II)

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. Symmetry in Circles (II) Chords A chord is a line connecting any two points on the circumference. chord The biggest possible chord is the diameter

  2. Chords & Radii When a radius is drawn through the middle of a chord the angle formed is 90°. | | Drawing in additional radii gives us right-angled triangles and we can then use Pythagoras calculations.

  3. Ex1 Radius = 15cm and AB = 24cm. Find x & y. x A B y ********** By Pythagoras x2 = 152 - 122 y = 15 - 9 x2 = 225 - 144 y = 6cm 15 x x2 = 81 12 x = 81 y 12 x = 9cm

  4. Ex2 Radius = 34cm and x = 16cm . Find AB. x A B ********** By Pythagoras y2 = 342 - 162 AB = 2 X 30 y2 = 1156 - 256 AB = 60cm 34 16 y2 = 900 A B y = 900 y y = 30

  5. Ex3 A tunnel of radius 8m has a road of width 10m running through it. Find the height of the tunnel. ************* By Pythagoras Height = 8 + 6.24 x2 = 82 - 52 8 = 14.24m x2 = 64 - 25 8 x x2 = 39 5 x = 39 x = 6.24

  6. Ex4 In a pipe of diameter 50cm the surface of the water is 18cm wide 18cm How deep is the water? ********** By Pythagoras 9 x2 = 252 - 92 Depth = 25 + 23.3 x 25 x2 = 625 - 81 = 48.3cm x2 = 544 25 x = 544 x = 23.3

More Related