Draw a pair of tangents to circle of radius 4cm which are inclined to each other at 60degree angle
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Given: Draw a pair of tangents to a circle of radius 4 CM which are inclined to each other at an angle of 70 Degree.
To Find: Required Diagram.
Step-by-step explanation:
The tangents can be constructed in the following manner:
- Draw a circle of radius 4 cm and with center as O .
- Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.
- Draw a radius OB, making an angle of (180 - 70) = 110 degree with OA.
- Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P. PA and PB are the required tangents at an angle of 70 Degree.
Now, The required tangents are PA And PB as shown in the figure.
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solution:-
- step - draw a circle of radius 4cm and with center as O .
- take a point A on the cercumfrence of the circle and join OA then OA =4cm.
- construct an angle AOB = 120° such that B is on circumference of the circle.
- draw OA perpendicular to RS and OB perpendicular to XY.
- let XY and RS intersect at point P. then join AP and BP .
- So AP and BP are the require tangents at an angle of 60°.
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