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# Draw A Tangent To A Circle At A Given Point, math Assignment Help

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Construction - Draw A Tangent To A Circle At A Given Point, math

**Case I:** When centre of the circle is known.

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**Construction 1:** Draw a circle of 4 cm diameter. Take a point P on the circle. At P draw a tangent line to the circle.

**Steps of Construction: **

1. With centre O and radius = 2 cm, draw a circle.

2. Take any point P on sits circum ference.

3. Join O with P.

4. At, P draw PT ^ OP.

Then PT is the required tangent to the circle at the point P.

**Case II:** To draw tangent to a circle at a given point on it when the centre of circle is not known.

**Construction 2:** Draw a circle of radius 2.5 cm. Take a point P on it. Without using the centre draw a tangent to the circle at P.

**Steps of Construction: **

1. Draw a circle of 2.5 cm radius.

2. Take any point P cn it.

3. Through P draw any chord PR

4. Make an angle say ∠PQR in the major segment.

5. At P, draw ∠RPT = ∠PQR such that P and Q lie on opposite sides of PR.

Then TPT is the required tangent line.

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**Case I:**When centre of the circle is known.

**Construction 1:**Draw a circle of 4 cm diameter. Take a point P on the circle. At P draw a tangent line to the circle.

**Steps of Construction:**

**Case II:**To draw tangent to a circle at a given point on it when the centre of circle is not known.

**Construction 2:**Draw a circle of radius 2.5 cm. Take a point P on it. Without using the centre draw a tangent to the circle at P.

**Steps of Construction:**

**Live Math Experts: Help with Draw Tangent Circle Assignments - Homework**

**Math Online Tutoring**: Draw Tangent Circle