![]() Secant (a line passing through two points of the circle)ĭiameter (a chord passing through the center)Ĭircumference (the distance around the circle itself. Radius (the distance from the center to the circle)Ĭhord (a line segment from the circle to another point on the circle without going through the center) A circle has a center, which is that point in the middle and provides the name of the circle. This means a circle is not all the space inside it it is the curved line around a point that closes in a space. fe61f898-9867-4b99-acc8-77100c5e103f by e-Limu used under CC_BY-SAĪll work unless implicitly stated is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.Circles are the set of all points a given distance from a point.M6.11.2a_Right_Triangles_Inscribed_in_Circles_Proof_1 by Unknown used under CC_BY-SA.M6.11.4 by Unknown used under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.Draw a circle passing through the vertices of triangle XYZ given below. What is the diameter of the circle in centimeters?ĩ. Draw a circle which passes through the three vertices of triangle PQR given below. Which pair of lines drawn through the construction marks will give the centre of the circle which touches the three sides of triangle EFG?Ĩ. Construct triangle ABC such that AC = 3.5 cm and C is on the circumference of the circle.ħ. Construct a circle of radius 3.5 cm with center O and diameter AOB. Draw a circle to pass the vertices of triangle LMN given below.Ħ. Draw a circle to pass through the points X, Y and Z below.ĥ. 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?Ĥ. Which pair of lines drawn through the construction marks will give the center of the circle?ģ. He made the construction marks E, F, G, H, J, K, L, M, N, and P. A pupil wanted to construct a circle to touch the sides of a triangle XYZ. What is the radius of this circle in centimeters?Ģ. draw a circle to pass through M, N, P, and Q. Draw a rectangle MNPQ in which MN = 4 cm and NP = 6 cm. Your browser does not support HTML5 videoĬlass 6 Construction of circles (Touching Vertices and Sides)ġ. The circle touches the three sides of the triangle. (v) with centre O and radius OM draw a circle. (iv) Construct the perpendicular bisector of XY (any side can be used) from point O to meet XY at M. ![]() (iii) Mark point O where the bisectors meet. (v) The circle passes through the vertices X, Y, Z of triangle XYZ.Ĭircle touching the three sides of a triangle (inscribed-circle) Procedure ![]() (iv) With centre O and radius OX draw a circle. (iii) Mark the point O where the bisectors meet. (ii) Construct the perpendicular bisectors of XY and ZY (any two sides can be used). AMBO is a major sector (more than half the circle).Ĭonstructing a circle Circle passing through vertices of a triangle (circumcircle). r is the radius and d is the diameter ( 2r) ANBO is a minor sector (less than half the circle). ![]() In the figure below O is the centre of the circle. A circle can be drawn using a pair of compasses. ![]()
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