Area Circumference Circle Coordinate Plane with Two Points

What is the circumference of the circle in terms of π?

• 1.1π

• 1.21π

• 2.2π

• 4.4π

A city planner designed a circular bike path for the local park. The coordinate grid shows the bike path she designed.

What is the equation of the circle that represents the bike path?

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Answer explanation

The circle has a center of (-2,1) and a radius of 4.

Answer explanation

The radius of the circle is 3, so r^2= 9 . Substituting the x- and y-values of the given point into the equation form of a circle

In the standard (x,y) coordinate plane below, the vertices of the square have coordinates (0,0), (6,0), (6,6), and (0,6). Which of the following is an equation of the circle that is inscribed in the square?

• (x - 3)² + (y - 3)² = 9

• (x - 3)² + (y - 3)² = 3

• (x + 3)² + (y + 3)² = 9

• (x + 3)² + (y + 3)² = 6

• (x + 3)² + (y + 3)² = 3

Find the area of the circle when given the circumference.
circumference = 22π in

• A = 22 in

• A = 380.1 in

• A = 34.6 in

• A = 69.1 in

The circle with equation (x + y - 1)² is graphed in the standard (x,y) coordinate plane below. Suppose the circle rolls along the positive x-axis for 2 rotations and then stops. Which of the following is an equation of the circle in its new position?

• (x + 2)² + (y - 1)² = 1

• (x + 2pi)² + (y - 1)² = 1

• (x + 4pi)² + (y - 1)² = 1

• (x - 2pi)² + (y - 1)² = 1

• (x - 4pi)² + (y - 1)² = 1

The center of a circle with radius 9 units is located at (2, 5) on a coordinate plane.

Select TWO points that lie on the circle.

Answer explanation

The square units needed to exactly cover the entire inside of a two dimensional figure.

• Volume

• Perimeter

• Trapezoid

• Area

A circle has a circumference of 16pi feet. What is the radius of the circle, in feet?

Individual Question

• sqrt(8)

• 4

• 8

• 16

• 32