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Visualising the Construction of Circles
Last updated at November 7, 2025 by Teachoo
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Visualising the Construction of Circles
Class 7 (Ganita Prakash & Old NCERT)
Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash)
- Definition
- Constructing Equilateral Triangle
- Constructing a Triangle when its Sides are given
- Figure it out - Page 150, 151
- Are Triangles Possible for any Lengths?
- Figure it out - Page 154
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Visualising the Construction of Circles
- Figure it out - Page 156
- Triangle Inequality & Construction of Circles
- Figure it out - Page 159
- Constructing Triangle when 2 Sides and the Included Angle are given
- Constructing Triangle when 2 Angles and the Included Side are given
- Do triangles always exist?
- Sum of angles of a triangle
- Angle Sum Property
- Exterior Angles
- Constructions Related to Altitudes of Triangles
- Figure it out - Page 170, 171
Transcript
Visualising the Construction of CirclesWe need to check if a Triangle with sides 8 cm, 4 cm, 5 cm exists To do this, we construct circles Now, If the circles intersect, it is a triangle If the circles do not intersect, it is not a triangle Let’s make a rough diagram Steps of construction 1. Draw a line segment AB of length 8 cm 2. Since AC = 4 cm. Taking 4 cm as radius, and A as center, we draw a full circle lightly 3. Since BC = 5 cm. Taking 5 cm as radius, and B as center, we draw a full circle lightly Now, where these two circles intersect is our point C Note: Since the two circles, we have our triangle. If they don’t intersect – then triangle is not possible 5. Join AC and BC and label the sides Thus, Δ ABC is the required triangle
