Name : ______________________________ Form : 3 ________ Date :
__________
Semsas, Kuantan Mathematics Panel / F3
Name : ______________________________ Form : 3 ________ Date :
__________
Worksheet 2 : CIRCLES II Properties of Angles In Circles
Property 1
Angles subtended at the circumference by the same arc are
equal.
x = y = z Property 2
Arcs of equal length subtend equal angles :i.At the
circumference
of the circle ii. At the centre of.
the circle.
x = y a = b
Property 3
The angle subtended at the centre by an arc is twice the angle
subtended at the circumference by the same arc.
Property 4
Any angle at the circumference of a semicircle is a right angle.
()
Practice 1
1. Find the value of x in each of the following circles.
2. In the following circles, O is the centre. Find the value of
x.
3. In the following circles, O is the centre. Find the value of
z.
4. . O is the centre of each of the following circles. Find the
value of p.
5.
(b)
(d)
(f)
6.
7.
8.
9.
10.
11.
Practice 2 : Angles in Circles
1. Find the values of x and y in each of the following
circles.a. b.
c.
d.
2. Find the values of x and y in each of the following
circles.
a. b.
c.
d.
3. In the following figures , O is the centre of the circle.
Find the values of x and y.a. b.
c.
d.
e.f.
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