Multiple choice

What is the area of the circle, the coordinates of the end points of whose diameter are ( − 2 , − 3 2 ) and ( 2 , 3 2 ) ?

  1. 5 π sq. units

  2. 10 π sq. units

  3. 25 4 π sq. units

  4. 25 π sq. units
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The diameter endpoints are (-2, -1.5) and (2, 1.5). The length of the diameter is sqrt((2 - -2)^2 + (1.5 - -1.5)^2) = sqrt(4^2 + 3^2) = sqrt(16+9) = 5. The radius is 2.5. Area = pi * r^2 = pi * (2.5)^2 = 6.25 * pi = 25/4 * pi.

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