Question

Draw any circle and mark points A, B and C such that
A) A is on the circle.
B) is in the exterior of the circle.
C) C is the exterior of the circle.

Answer 1

Hint: The interior of a circle is the set of points whose distance from the center is less than radius and the exterior of a circle of the set of points in the plane whose distance from the center is greater than radius. Use this property to get the answer.

Complete step-by-step answer:
Let us assume the radius of a circle is “r” and center is O, then circle can be drawn as

A) A is on the circle, it means the distance of OA must be equal to the radius r, it can be shown as

B) B is in the interior of the circle, it means the distance of OB must be less than the radius and the point B lies within the circle.

C) C is at the exterior of the circle, it means the distance of OC must be greater than the radius of circle and it must lie outside the circle, so it can be drawn as

Note: In order to solve these types of questions; It is necessary to understand the basic concept of circle and radius and terms related to circle such as diameter, chord, secant, radius and tangent. Also learn their definitions. A circle can be defined as a shape consisting of all points in a plane that are a given distance from a given point, the center.