Where does a point need to be so that its distance from the center of the circle is the shortest?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Where does a point need to be so that its distance from the center of the circle is the shortest?
Let's remember that the circle is actually the inner part of the circumference, meaning the enclosed area within the frame of the circumference.
Therefore, a point whose distance is less than the radius from the center of the circle will necessarily be inside the circle.
Inside
Where does a point need to be so that its distance from the center of the circle is the shortest?
No! While the center has the absolute minimum distance (zero), the question asks for points with the shortest distance. All points inside the circle are closer to the center than points on the circumference.
Points on the circle are exactly on the circumference (distance = radius). Points inside are within the circumference (distance < radius). Inside points are always closer to the center!
Distance is measured as a straight line from the center to any point. Use the distance formula: where the center is .
The center has distance zero to itself, which is the absolute minimum. But when comparing all possible points, any point inside the circle is closer to the center than points outside or on the circumference.
The size doesn't matter! Whether the radius is 1 unit or 100 units, points inside the circle are always closer to the center than points on or outside the circumference.
Get unlimited access to all 18 Circle for Ninth Grade questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime