Page 27 - Trigonometry

2
2 √ − 2
( ) sin −1 ( ) −
2 4

The area of the pattern is,

Area of green triangle + area of circle – red area.

2
1 2 2 √ − 2
+ ( ) − ( ) sin −1 ( ) +
2 2 2 4
Leaving,

2
√ − 2 2
= [ + ] + [ − sin −1 ( )]
2 2 4

The keystrokes for your fx calculator to perform this

calculation are (q(SETUP)4),
CQ(A)a2$(Q(B)+sQ(D)d

pJ(A)d$a2$)+J(D)da

$(qLpq<J(A)aJ(D)$
))

In the pattern on page 21 D = 15.49 cm, A = 11.04 cm

and B = 12.67 cm, calculate its area.
r

A? 11.04=

B? 12.67=

D? 15.49=

23