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UNIT IV: Geometry

UNIT IV: Geometry relates to CBSE - Class 10/Mathematics

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UNIT IV: Geometry Lessons

UNIT IV: Geometry Questions

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Answered on 07 Oct Learn CBSE - Class 10/Mathematics/UNIT IV: Geometry/Constructions

Prashansa R.

I am Neet aspirant . I conduct classes 1 to 10 and 12th biology.

Step 1: Draw the circle Draw a circle with radius = 5 cm. Imagine it as a pizza šŸ• (yum!), radius 5 cm. Step 2: Angle at the tangents Tangents meet outside the circle at 60°. Draw a big triangle outside the circle, whose tip is where the tangents meet. Think of it as a party hat šŸŽ© on... read more

Step 1: Draw the circle

  • Draw a circle with radius = 5 cm.

  • Imagine it as a pizza šŸ• (yum!), radius 5 cm.


Step 2: Angle at the tangents

  • Tangents meet outside the circle at 60°.

  • Draw a big triangle outside the circle, whose tip is where the tangents meet. Think of it as a party hat šŸŽ© on top of the pizza.


Step 3: Locate the point of intersection

  • Let the tangents meet at point P outside the circle.

  • Draw a line from P to the center O of the circle. This will bisect the 60° angle into 30° on each side.


Step 4: Find distance from circle center to intersection

  • Use tricky but simple formula:

OP=rsin⁔(θ/2)OP = \frac{r}{\sin(\theta/2)}

Here, r=5 cm,θ=60°r = 5 \text{ cm}, \theta = 60°

OP=5sin⁔30°=50.5=10 cmOP = \frac{5}{\sin 30°} = \frac{5}{0.5} = 10 \text{ cm}

So, distance from center to intersection = 10 cm (P is 10 cm from center O).


Step 5: Draw tangents

  • Draw a circle of radius 5 cm.

  • Mark the point P, 10 cm away from center O.

  • Draw two straight lines from P to touch the circle. These are your tangents.


Step 6: Celebrate šŸŽ‰

  • Angle between tangents = 60° āœ…

  • Radius = 5 cm āœ…

  • You just drew tangents like a geometry wizard

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