If P(3, 2) and Q(7, 10) are the endpoints of the diameter of a circle, what is the area of the circle in square units? a. b. 20π c. 80π d.

The correct answer is option (b).

Therefore the area of the circle is    square units

Step-by-step explanation:

Given that , P(3,2) and Q(7,10) are the endpoint of the diameter of a circle.

To find out the length of diameter we use the distance formula.

If (x₁,y₁) and (x₂,y₂) are point.

Then the distance between them is =

Here x₁=3,y₁=2,x₂ = 7,y₂=10.

The length of the diameter is =

                                                  units.

Radius of a circle

Therefore the the radius of the circle is units  units units

The area of a circle =

Therefore the area of the circle is

                                                         square units