Page 1 - Activity 2 Angle formed at center by an arc Ch.10 Circle

SAI International Residential School
CLASS - IX

Mathematics

ACTIVITY-3
Chapter 10: Circles

Sub Topic: Angle Subtended by an Arc of a Circle at the centre is double
the angle subtended by it at an point on the remaining part of the circle

OBJECTIVE

To verify that the angle subtended by an arc of a circle at the centre is double the angle
subtended by it at an point on the remaining part of the circle.

Materials Required

1. Coloured drawing sheets
2. Cardboard
3. Geometry box
4. White paper
5. Adhesive
6. Transparent sheet
7. Cutter/Scissors

Prerequisite Knowledge

1. All the basic knowledge related to the circle.
2. Angle subtended by an arc.

Theory

1. The collection of all the points in a plane, which are at a fixed distance from a fixed
point in the plane, is called a circle. The fixed point is called the centre of the circle,
the line segment joining the centre and any point on the circle is called radius of
circle.
2. A line segment joining two points on the circle is called a chord of the circle.
3. A chord which passes through the centre of the circle is called a diameter of the
circle.
4. The length of the complete circle is called its circumference.