Construct a circle of radius 4 cm. Then construct a pair of tangents to the circle such that the angle between them is 60°​

Sure, here are the steps to construct a circle of radius 4 cm and a pair of tangents to the circle such that the angle between them is 60°:

1. Draw a circle of radius 4 cm using a compass.

2. Draw a line from the center of the circle to the edge of the circle. This will be the radius of the circle.

3. Using the compass, measure an angle of 60° from the radius line. This can be done by placing the point of the compass at the center of the circle, and drawing an arc that intersects the circle. The point where the arc intersects the circle is the point where the 60° angle is.

4. Draw a line from the center of the circle through the point where the 60° angle intersects the circle. This line will be one of the tangents to the circle.

5. To draw the second tangent, simply draw a line from the center of the circle that is parallel to the first tangent. This line will intersect the circle at a point that is 60° from the point where the first tangent intersects the circle.

6. The two lines you have drawn are the pair of tangents to the circle that form a 60° angle with each other.