We have to calculate the radius
Radius: Distance between the points (8,2) and (3,7)
Given two points (x₁,y₁) and (x₂,y₂) the distance between these points will be:
Distance=√((x₂-x₁)²+(y₂-y₁)²)
In this case:
Distance=radius=√((3-8)²+(7-2)²)=√(25+25)=√50
Area of a circle=πr²
Data:
r=√50
Therefore:
Area of this circle=π((√50) u)²=50π u²≈157.1 u².
Answer: the area would be: 50π u² or 157.08 u²