Page 198 - ICSE Math 6

To do so, follow the steps given below.

Step 1: Draw a perpendicular bisector of AB which intersects it at O. A B
O

Step 2: Draw a circle with centre at O and radius AO or OB. A B
O

To construct a circle passing through three non-collinear points
Let’s draw a circle passing through three non-collinear points A, B and C.
To do so, follow the steps given below.
A

Step 1: Join point A with points B and C. Draw perpendicular bisectors B O
of AB and AC which intersect each other at O.

C
A

Step 2: Draw a circle with centre at O and radius OA, OB or OC. O
B

C

EXERCISE 18.2

1. With the help of a ruler and a compass, draw a circle of radius:
(a) 5 cm (b) 3.5 cm
2. With the help of a ruler and a compass, draw a circle of diameter:

(a) 12 cm (b) 8 cm
3. Draw ∠ABC = 90°. Construct a circle passing through the points A, B and C.
4. Draw a line segment PQ of length 6 cm. Then, do as directed.

(a) Draw a circle with PQ as the diameter.
(b) Draw a circle with PQ as the radius and centre at P.

182