Multiple choice

The area of the circle whose centre is (3, 4) and passes through (6, 8), is

  1. 5π sq. units

  2. 10π sq. units

  3. 25π sq. units

  4. 36π sq. units

  5. 15π sq. units
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Radius^2 = (6-3)^2 + (8-4)^2 = 3^2 + 4^2 = 9 + 16 = 25. Area = pi * r^2 = 25 * pi.

AI explanation

Using the distance formula, the radius r is the distance between (3, 4) and (6, 8), which is calculated as the square root of (6 minus 3) squared plus (8 minus 4) squared. This gives the square root of 9 plus 16, resulting in a radius of 5 units. Applying the area of a circle formula, area equals pi times r squared, the area is pi times 5 squared, which equals 25 pi square units.

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