5 . The following diagram shows a rectangle ABCD and a sector EBC of a circle
with centre E and radius r . E is the mid-point of AD . BE � r and ABE ˆ � � , π where 0 ��
� . 2
E
A r
r
�
B
D C
( a ) |
Express AB in terms of r and � . |
( b ) |
Show that the area of the triangle ABE is |
( c ) Show that BEC ˆ � 2� . r 2 sin 2� . 4
[ 1 ]
[ 4 ]
[ 2 ]
© SE Production Limited 8 All Rights Reserved 2021