draw a pair of tangents to a circle of radius 5cm which are inclined to each other at an angle 60 degree
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Method 1:
Draw a circle of radius = 5 cm.
Draw X and Y axes through the center C of the circle.
Let AOA' be the horizontal diameter and BOB' be the vertical diameter.
Follow the procedure for trisecting the angle AOB. Let OC be the line that makes 30 deg and OD be the line that makes 60 deg with X axis.
Follow the same procedure for trisecting the angle AOB' below X axis. Let OC' and OD' be lines that make 30 and 60 deg respectively.
Draw perpendiculars to OD and OD' at D and D' respectively meeting X axis at one point P.
PD and PD' are the tangents with an angle 60 deg between them.
Method 2:
Draw the circle with center O and radius 5 cm.
Find the point E 2.5 cm to the left of O on X axis (horizontal diameter). OE = 2.5 cm.
Draw a perpendicular line to X axis at E. It meets the circle at D and D'.
Draw perpendiculars to OD and OD' at D and D' meeting X axis at P exactly.
PD and PD' are tangents.
Draw a circle of radius = 5 cm.
Draw X and Y axes through the center C of the circle.
Let AOA' be the horizontal diameter and BOB' be the vertical diameter.
Follow the procedure for trisecting the angle AOB. Let OC be the line that makes 30 deg and OD be the line that makes 60 deg with X axis.
Follow the same procedure for trisecting the angle AOB' below X axis. Let OC' and OD' be lines that make 30 and 60 deg respectively.
Draw perpendiculars to OD and OD' at D and D' respectively meeting X axis at one point P.
PD and PD' are the tangents with an angle 60 deg between them.
Method 2:
Draw the circle with center O and radius 5 cm.
Find the point E 2.5 cm to the left of O on X axis (horizontal diameter). OE = 2.5 cm.
Draw a perpendicular line to X axis at E. It meets the circle at D and D'.
Draw perpendiculars to OD and OD' at D and D' meeting X axis at P exactly.
PD and PD' are tangents.
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