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

Answer:

157.1 square units

Step-by-step 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

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$D=\sqrt{(3-8)^2+(7-2)^2}=\sqrt{50}$

So the radius = $\sqrt{50}$

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

where 'r' is the radius

Area of the circle = $\pi (\sqrt{50})^2=157.1 square units$

Answer 2

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