Circles Unit Test 100%

Which equation represents the circle described? The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 - 8x - 6y + 24 = 0. - (x + 4)2 + (y + 3)2 = 2 - (x - 4)2 + (y - 3)2 = 2 - (x - 4)2 + (y - 3)2 = 2² - (x + 4)2 + (y + 3)2 = 2²

(x - 4)2 + (y - 3)2 = 2²

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride? - 132 feet - 659 feet - 1,978 feet - 3,956 feet

1,978 feet

In circle C, r = 32 units. What is the area of circle C? - 32π units² - 64π units² - 256π units² - 1024π units²

1024π units²

What is the measure of arc QR? - 26° - 52° - 104° - 128°

104°

What is the area of the sector that is not shaded? - 12π units² - 24π units² - 120π units² - 144π units²

120π units²

What is the measure of arc BEC in circle D? - 134° - 150° - 209° - 210°

134°

In the diagram of circle A, what is the measure of ∠XYZ? - 35° - 70° - 75° - 140°

35°

In circle O, what is m∠MAJ? - 50° - 55° - 125° - 250°

55°

Line segments XY and ZY are tangent to circle O. Which kind of triangle must triangle XYZ be? - an equilateral triangle - an isosceles triangle - a scalene triangle - a right triangle

an isosceles triangle

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°. What is the measure of angle BCD? - 37° - 53° - 74° - 106°

74°

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0). What is the equation of the directrix of the parabola? - y = 3 - y = -3 - x = 3 - x = -3

x = -3

Line segment KL is tangent to circle J at point K. What is the length of the radius, r? - 8 units - 10 units - 12 units - 16 units

10 units

What is the value of x? - 2 - 3 - 6 - 7

2

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? - focus: (0,8); directrix: y = -8 - focus: [0, 1/2]; directrix: y = -1/2 - focus: (8,0); directrix: x = -8 - focus: [1/2, 0]; directrix: x = -1/2

focus: [0, 1/2]; directrix: y = -1/2

A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis. Which could be the equation of the parabola? x2 = -4y x2 = 4y y2 = 4x y2 = -4x

x2 = 4y

Line segment ON is perpendicular to line segment ML. What is the length of segment NP? - 1 unit - 2 units - 3 units - 4 units

2 units

Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX. Marco wants to create a new circle using GX as a radius. What will be the area of Marco's new circle? - 10π cm² - 16π cm² - 356π cm² - 676π cm²

676π cm²

A general formula for a parabola is x2=4py. What is the value of p in the equation x2=12y? - p=3 - p=4 - p=6 - p=12

p=3

Consider a circle whose equation is x2 + y2 - 2x - 8 = 0. Which statements are true? Select three options. - The radius of the circle is 3 units. - The center of the circle lies on the x-axis. - The center of the circle lies on the y-axis. - The standard form of the equation is (x - 1)² + y² = 3. - The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

(1) The radius of the circle is 3 units. (2) The center of the circle lies on the x-axis. (5) The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In circle O, AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°. What is the measure of EAC? - 100° - 125° - 235° - 280°

280°

What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42? - 2 units - 4 units - 8 units - 16 units

4 units

What is the length of JG? - 4 units - 5 units - 6 units - 9 units

5 units

In circle P, diameter QS measures 20 centimeters. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. - 9.9 centimeters - 19.9 centimeters - 21.5 centimeters - 43.0 centimeters

9.9 centimeters

In the diagram of circle A, what is m∠LMN? - 75° - 90° - 120° - 135°

90°

Which is true regarding secants and chords? - Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once. - Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice. - Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle. - Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.

Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.