Page 165 - Mathematics_Form_3

Circles

From which it gives y = 6 cm. C
Since 4y = 3x and y = 6cm,then
D
46 3x×= O
⇒= 8cm B
x
FOR ONLINE READING ONLY
Therefore, the value of x and y are x
y 40º
8 cm and 6 cm, respectively.
X A T
4. The distance of a chord PQ from
Exercise 5.12
the centre of a circle is 5 cm. If the
1. In the following figure, ‾ TP and ‾ TQ radius of the circle is 13 cm, find
are tangents to the circle with centre the length of PQ.
O. Prove that ‾ TO bisects the angle
between the tangents as well as the 5. A chord of length 32 cm is 12 cm
angle between the radii. away from the centre of a circle.
Find the radius of the circle.
P
6. In the following figure, find the

O T value of x, if O is the centre of the
circle.
C
Q
2. In the following figure, TAX B
is a tangent, AB is parallel to 28º
ˆ
ˆ
DC, XAB 50= ̂ C °, and TAD 30= °. O x
Calculate A B C.
Mathematics for Secondary Schools D 30º R 50º B 7. The chord AB of a circle with

A

centre O and radius 3.3 cm is
2.15 cm long. Find the distance

of ‾ AB from O.
A
X
T
3. In the following figure, TAX is a

tangent to the circle with centre O,
tangent and ‾ DB is a perpendicular 8. In the following figure, if ‾ TP is a
̂
and T P O = 30 °.
̂
bisector of ‾ AC . If T A B = 40° ,
calculate the values of x and y.

158 Student\s Book Form Three

18/09/2025 09:59:55
MATHEMATIC F3 SB.indd 158
MATHEMATIC F3 SB.indd 158 18/09/2025 09:59:55