Question

The center of a circle is A(-3, 3) and B(1, 6) is on the circle. Find the area in terms of pi.

Answer 1

Answer:

$\large\boxed{A=25\pi}$

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

We have the center A(-3, 3) and the point on the circle B(1, 6).

The radius is equal to the distance between the center and the any point on the circle.

The formula of a distance between two points:

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

Substitute:

$r=\sqrt{(1-(-3))^2+(6-3)^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5$

$A=\pi(5^2)=25\pi$