Lesson 9Circling TrianglesDevelop Understanding

Factor.

Set

10.

Circle is centered at the origin. Each of the four right triangles inside has a hypotenuse that measures . Write the equation of .

11.

Circle is centered at the origin. Each of the four right triangles inside has a hypotenuse that measures . Write the equation of .

12.

Point is centered at the origin and is the midpoint of . Write an equation of a circle that passes through points and and has at its center.

Given: .

13.

Write the equation of a circle that passes through the point and is centered at the origin.

14.

Write the equation of a circle that passes through the point and is centered at the origin.

15.

Let point be .

• Draw a circle centered at the origin that passes through point . Use the Pythagorean theorem to identify three additional points in each of the Quadrants I, II, and III that lie on the circle and do not contain the numbers and . Label the points on the circle.

• Write the equation of the circle.

Go

Each arc is shown in blue.

Each indicated angle is the central angle that intercepts the given arc.

Given: and

Given: and

Given: and