- A circle can be drawn using a pair of compasses.
- In the figure below O is the centre of the circle.
- r is the radius and d is the diameter (2r) ANBO is a minor sector (less than half the circle).
- AMBO is a major sector (more than half the circle).
Procedure
(i) Draw a triangle XYZ.
(ii) Construct the perpendicular bisectors of XY and ZY (any two sides can be used).
(iii) Mark the point O where the bisectors meet.
(iv) With centre O and radius OX draw a circle.
(v) The circle passes through the vertices X, Y, Z of triangle XYZ.
(i) Draw a triangle XYZ.
(ii) Construct the bisectors of •ZXY and •ZYX (any two angles can be used).
(iii) Mark point O where the bisectors meet.
(iv) Construct the perpendicular bisector of XY (any side can be used) from point O to meet XY at M.
(v) with centre O and radius OM draw a circle. The circle touches the three sides of the triangle.
Class 6
1. Draw a rectangle MNPQ in which MN = 4 cm and NP = 6 cm. draw a circle to pass through M, N, P, and Q. What is the radius of this circle in centimeters?
(Please draw on a sheet of paper)
A. 2 B. 3 C. 3.6 D. 7.2
2. A pupil wanted to construct a circle to touch the sides of a triangle XYZ. He made the construction marks E, F, G, H, J, K, L, M, N, and P.
Which pair of lines drawn through the construction marks will give the center of the circle?
A. LM and XJ B. XJ and YK
C. XM and YK D. NP and LM
3. Which pair of lines drawn through the construction marks will give the center of the circle which passes through the vertices E, F and G of triangle EFG?
A. ET and FR B. GU and ST
B. QR and ST C. EV and GU
4. Draw a circle to pass through the points X, Y and Z below.
What is the radius of the circle?
A. 5 cm B. 6 cm C. 8 cm D. 10 cm
5. Draw a circle to pass the vertices of triangle LMN given below.
What is the radius of the circle?
A. 5.0 cm B. 5.5 cm C. 5.8 cm D. 6.1 cm
6. Construct a circle of radius 3.5 cm with center O and diameter AOB. Construct triangle ABC such that AC = 3.5 cm and C is on the circumference of the circle.
(Please construct on a sheet of paper)
What is the size of the angle COB?
A. 300 B. 600 C. 900 D. 1200
7. Which pair of lines drawn through the construction marks will give the centre of the circle which touches the three sides of triangle EFG?
A. ET and FR B. GU and ST
C. QR and ST D. EV and GU
8. Draw a circle which passes through the three vertices of triangle PQR given below.
What is the diameter of the circle in centimeters?
A. 5.2 B. 4.4 C. 2.6 D. 2.4
9. Draw a circle passing through the vertices of triangle XYZ given below.
What is the radius of the circle?
A. 5.8 cm B. 2.9 cm C. 2.5 cm D. 1.5 cm
