Question

Explain in your own words why you think a tangent of a circle is always perpendicular to the radius at the point of tangency

Answer 1

A radius and diameter are parts of a circle. Thus the reasons required in the question are given as;

i. A tangent is always perpendicular to the radius of a circle because they are always at a right angle.

ii. A line that is drawn from the end of a diameter of a circle to its circumference form a right angle because they are always perpendicular.

A circle is a figure that is bounded by a curved line which is called its circumference. Some of its parts are radius, diameter, chord, sector, etc.

• A diameter is a line from one point on the circumference of a circle to another through its center.
• A radius is a line drawn from the center of a circle to its circumference. Thus a radius is half of the diameter.
• A tangent is an external line drawn to meet the circumference of a circle at a point,

Thus the reasons required in the question are given as;

i. A tangent is always perpendicular to the radius of a circle because they are always at a right angle.

ii. A line that is drawn from the end of a diameter of a circle to its circumference form a right angle because they are always perpendicular.

For further clarifications on parts of a circle, visit: brainly.com/question/15618723

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