Page 168 - Mathematics_Form_3

Circles

(b) b
(a) E
F

M N D
25º
O
FOR ONLINE READING ONLY
O
a x
75º
c
P
(b)
4. (a) Convert each of the following Q
P
degrees into radians. Express 80º
your answers as multiples of π.
O
( i ) 45° ( i i ) 120°

( i i i ) 135° ( i v ) 150° R x
S
(b) Convert the following radians (c) B A
into degrees: 70º x
π _
π __
(i) (ii)
2 6 O
10
_
5 _
(iii) π (iv) π
4 3
5. Give the size in degrees and radians C D
of angles through which the minute
hand of a clock has turned between 7. If APQB and CPQD are two
noon and the following times: intersecting circles, where AC
and BD are straight lines and
ˆ
ˆ
(a) 1220 hr APQ=70°, find CDQ .
(b) 0100 hr 8. In the following figure, ‾ SP / / ‾ RQ ,

(c) 0215 hr PQX and SRY are straight lines and Mathematics for Secondary Schools
̂
̂
P S R = 100° . Find Q X Y.
(d) 2400 hr
Y
6. In problems (a) to (c), if O is the S R
centre of the circle, find the value 100°
of x .

P
Q
X

Student\s Book Form Three 161

18/09/2025 09:59:57
MATHEMATIC F3 SB.indd 161
MATHEMATIC F3 SB.indd 161 18/09/2025 09:59:57