How do you construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60 degree?

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How do you construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60 degree?

1 Answer

  1. Steps of Construction:
  2. Step I: Draw a circle with centre O and radius 3 cm.
  3. Step II: Draw any diameter AOB.
  4. Step III: Draw a radius OC such that ∠ BOC = 60°.
  5. Step IV: At C, we draw CM ⊥ OC and at A, we draw AN ⊥ OA.
  6. Step V: Let the two perpendiculars intersect each other at P.

How do you construct a tangent inclined at 45?

Expert Answer:

  1. Draw circle of radius 4.5 cm with centre O.
  2. Take any points A on the circle. Join OA. Mark another point B on the circle such that ∠AOB = 135°,
  3. supplementary to the angle between the tangents.
  4. Since the angle between the tangents to be constructed is 45°.
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When a pair of tangents to a circle are inclined to each other at an angle of 80 then the angle between two radii that touch these tangents is *?

the tangents are perpendicular to radius at point of contact. So, inorder to satisfy angle sum property, the other two angles should be supplementary; and supplementary angle of 80 ° is 120° .

How do you construct a tangent inclined at 90 degrees?

Central angle is taken 90 degree then perpendiculars are drawn on the arms of angle. Hence, the tangents form are perpendicular to each other.

How do you draw a pair of tangents inclined at 60?

Steps of construction:

  1. Draw circle with centre O and radius OA = 5 cm, .
  2. Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.

How do you draw a circle of radii 3cm?

Step 1: Draw a circle with centre O and radius 3 cm using a compass.

  1. Step 2: Draw a secant passing through the centre.
  2. Step 3: Place the compass on P and draw two arcs on opposite sides of OP.
  3. Step 6: Mark the intersection points of the circle drawn from M1​ with the circle drawn from O as A and B.
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How do you construct a tangent inclined at 60?

How do you draw a pair of tangents?

  1. Draw a circle of radius 5 cm.
  2. Draw horizontal radius OQ.
  3. Draw angle 120o from point O. Let the ray of angle intersect the circle at point R.
  4. Now draw 90o from point Q.
  5. Draw 90o from point R.
  6. Where the two arcs intersect, mark it as point P.

Is it possible to construct a pair of tangent?

Answer: No, it is not possible. Step-by-step explanation: Tangent is lies out side of circle , and given radius of circle = 4.5 cm .

How do you construct a pair of tangents?

How do you draw two tangents inclined at 60?

1 Answer

  1. Draw a circle of radius 4 cm with O as centre.
  2. Draw, two radii OA and OB inclined to each other at an angle of 120°.
  3. Draw AP ⊥ OA at A and BP ⊥ OB at B. Which meet at P.
  4. PA and PB are the required tangents inclined to each other an angle of 60°. Please log in or register to add a comment.

How do you draw a radius with a 3.25 cm circle?

Draw a circle of radius 3.25 cm​

  1. Make a point O as centre on your notebook.
  2. Open compass with measure 3. 25cm using a ruler having least count 0.
  3. Pointed at the centre and draw a circle using the pencilend of the compass.
  4. And hence u will find your circle with radius 3.25 is ready.
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What is the angle between tangents of radius and radius?

Given angle between tangents is 600. ∴ we draw a radius , then second radius at 1200 from first. Tangents is perpendicular to radius. Was this answer helpful?

How to find tangents at an angle of 60°?

Draw 90° from point R 6. Where the two arcs intersect, mark it as point P ∴ PQ and PR are the tangents at an angle of 60° Justification We need to prove that PQ and PR are the tangents to the circle at angle of 60° .

When do the constructions of pair of tangents line?

Constructions of pair of tangents line when when tangent line inclined at an Angle. If playback doesn’t begin shortly, try restarting your device. Videos you watch may be added to the TV’s watch history and influence TV recommendations. To avoid this, cancel and sign in to YouTube on your computer.

How to draw a circle with a radius of 60o?

1) Draw a circle with O as centre and radius = 3cm. 2) Draw any diameter AOB of this circle. 3) Construct ∠BOC = 60o such that radius OC meets the circle at C. 4) Draw AM ⊥ AB and C N ⊥ OC. Let AM and C N intersect each other at P. Then, P A and C N intersect each other at P.