Mathematics
Grade9
Easy

Question

What is the radius when the center is (-5, 8) and the point on the circle is (2, 10)?

  1. square root of 53
  2. square root of 33
  3. square root of 23
  4. square root of 13

hintHint:

The radius of circle is the distance between center of circle and any point on the circle. Using distance between two points formula find radius.

The correct answer is: square root of 53


    If a circle has radius as r and center as  (-5, 8) and (2, 10) is a point on the circle. The distance between (2, 10) and (-5, 8)  is r.

    If there are two points left parenthesis x subscript 1 comma y subscript 1 right parenthesis and left parenthesis x subscript 2 comma y subscript 2 right parenthesis ,then distance between two points is 

    Error converting from MathML to accessible text.
    r space equals square root of left parenthesis 2 plus 5 right parenthesis squared plus left parenthesis 10 minus 8 right parenthesis squared end root
equals square root of 7 squared plus 2 squared end root
equals square root of 49 plus 4 end root
equals square root of 53
    Therefore, root index blank of 53 is the radius when the center is (-5, 8) and the point on the circle is (2, 10).

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