a circle has a center at 8,2 the point 3, 7 is on the circle, what is the area of the circle to the nearest tenth

1 answer:

6 0

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

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