If the endpoints of the diameter of a circle are (4,7) and (7,11). What is the area of the circle to the nearest tenth.

Expert Answers
justaguide eNotes educator| Certified Educator

The endpoints of the diameter of the circle are (4, 7) and (7, 11).

The distance between the points or the length of the diameter is given as:

sqrt[ (4 - 7)^2 + (7 - 11)^2]

=> sqrt[3^2 + 4^2]

=> sqrt (9 + 16)

=> sqrt 25

=> 5

The length of the radius is 5/2

The area of a circle is pi*r^2

=> pi*2.5^2

=> 19.63

The area of the circle is 19.6 square units.