Docstoc

Chords in a circle

Document Sample
Chords in a circle Powered By Docstoc
					Chords in a circle


Geometry
Chords in a Circle



       Q1. AB is a chord 19cm long
       in a circle with a radius of
       13cm.
       Calculate
                                                      O
       a) The distance of the chord
       from the centre of the circle.       13cm

       b) The size of angle AOB.
                                        A                            B
       c) The length of minor arc AB             19cm    
                                                       
       d) The area of sector AOB
       e) The dotted area
                                   Q2. AB is a chord 4cm from the
                                   centre of the circle of radius 8cm.
                                   Calculate
                O                  a) The length of chord AB
                                   b) The size of angle AOB.
                 4cm
                                   c) The length of minor arc AB
  A                            B   d) The area of sector AOB
                
              
                                e) The dotted area.


Q3. AB is a chord 7cm from the
                                                                    P
centre of the circle of radius 8.5cm
Calculate
a) The length of chord AB                           Q
b) The size of angle OAB.
c) The length of major arc AB                                           O

d) The area of sector AOB
                                                                        7cm
e) The dotted area.
f) A second chord PQ is such that                       A             
                                                                                     B
                                                                    
it’s distance from the centre                                       
 of the circle is the same as
 the length of the chord.
 Find the length of this chord.
Q4. AB and BC are two chords
 of lengths 11cm and 8 cm
 respectively in a circle of radius
                                      C
 10cm.
Calculate                             
                                       
a) The distances of the chords from   
                                        
the centre of the circle.                
                                          B                            A
b) The size of angle ABC.                               
                                                      
                                                       
c) The dotted area.
d) The length of arc AC.

				
DOCUMENT INFO
Shared By:
Categories:
Stats:
views:21
posted:4/7/2010
language:English
pages:4