2. INSCRIBED ANGLES SUBTENDED BY THE SAME
ARC ARE EQUAL.
• Introduction:- By using this working model you can easily explain the
circle theorem (Inscribed angles subtended by the same arc
are equal).
• We will go through the inscribed angle theorem, but before
that, let’s discuss some interesting facts about circles and
3. Circles are all
around us in our
world. There exists
an interesting
relationship
among the angles
of a circle.
4. TO RECALL, A CHORD
OF A CIRCLE IS THE
STRAIGHT LINE THAT
JOINS TWO POINTS ON
A CIRCLE’S
CIRCUMFERENCE.
HERE AAND B LINE
SHOWS THE CHORD.
5. THREE TYPES OF
ANGLES ARE
FORMED INSIDE A
CIRCLE WHEN TWO
CHORDS MEET AT A
COMMON POINT
KNOWN AS A
VERTEX. THESE
ANGLES ARE THE
CENTRAL ANGLE,
INTERCEPTED ARC,
AND THE
INSCRIBED ANGLE.
6. WHAT IS THE INSCRIBED ANGLE?
• An inscribed
angle is an angle
whose vertex lies
on a circle, and
its two sides are
chords of the
same circle.
7. PROOF BY USING THIS WORKING
MODEL.
1.Take three points on
the circumference of
the circle. Draw a chord
AB on the circle as
shown in the picture.
2.Now I take three 360
degrees protractors.
8. 3. Take three rubbed bands
to show the chords and
inscribed angles. One rubbed
band shows chord AB.
4. Now stretched the rubbed
band meet it at the first point
on the circle. Now Note down
the angle with help of 360-
degree protractor. You see it
is 50 degrees.
9. 5.Now stretched the
rubbed band meet it at the
first point on the circle.
Now Note down the angle
with help of 360-degree
protractor. You see it is 50
degrees.
6.Now again do this for
the second point, you will
see again it is 50 degrees.
10. HENCE PROVED.
7.Now again do this for
the third point, you will
see again it is 50
degrees.
8.Now again do this for
the third point, you will
see again it is 50
degrees.
