Question

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 of a square unit?

22.2 square units
44.4 square units
157.1 square units
314.2 square units

Answer 1

22.2 square units I think it is :)...

Answer 2

157.1 square units

Explanation:

A circle has a center at (8,2). The point (3,7) is on the circle.

To find area of a circle, we need to find the radius

find the distance between the center and the point to get the radius

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

A circle has a center at (8,2). The point (3,7)

`D=√((3-8)^2+(7-2)^2)=√(50)`

So the radius =
`√(50)`

Area of the circle =
`\pi r^2`

where 'r' is the radius

Area of the circle =
`\pi (√(50))^2=157.1 square units`