Circle Questions and Answers

Graph the equation to find symmetry. (Let 0 ≤ θ< 2π. Select all that apply.) r = 7 The graph is symmetric with respect to θ = 2π The graph is symmetric with respect to the polar axis. The graph is symmetric with respect to the pole. The graph has no symmetry.

Write the equation in standard form for the circle that has a diameter with endpoints (1, 0) and (-1,0). (0)

If Point B is 10 units away from the center of Circle A, which has a radius of 6 units, and a tangent line is drawn from Point B to the circle, what is the distance from Point B to the point of tangency?

A particle is located on the x-axis at the point (12,0). At time t = 0, it begins to move from its starting point in a circle around the origin counterclockwise. It returns to its original location on the x-axis at time t = 6. a. Find a pair of parametric equations x(t) and y(t) which model the location of the particle on the coordinate plane for t≥0. b. Find the coordinates of the particle at time t = 3.

Jude walks around a circular path 4 times. The radius of the path is 100 yards. How many yards does he walk in all? Use 3.14 for pl. A. 2512 yards B. 400 yards C. 100 yards

If the radius of a circle is 162 millimeters, then what is the circumference of the circle? Use pl = 3.14 A. 1,078.96 millimeters B. 1,017.36 millimeters C. 1,000.88 millimeters

Write the standard equation for a circle. center (10, -6), r = 6 Select one: a. (x-10)² + (y + 6)² = 36 b. (x + 6)² + (y - 10)² = 36 c.(x + 10)² + (y - 6)² = 6 d. (x-10)² + (y + 6)² = 6

The equation x²-6x + y² +6y+9=0 is an equation of a circle in expanded form. Complete the square to find the center and radius, and then write the equation of the circle in standard form. To earn full credit, you must show your work. a. center b. radius c. Equation..

Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. x+y² +8x-4y-16=0 The equation of the circle in standard form is (x+4)2-(y-2)²=36 (Simplify your answer) The center of the circle is (-4,2) (Type an ordered pair.) The radius of the circle is r= 6

Find the center and radius of the circle with the equation (x-3)² + (x+7)² = 121 Center: Radius: r

The infield of a youth softball field is a square that measures 55 feet on each side. The pitching circle is 16 feet in diameter. A general rule of thumb is that a person can take up 2.5 ft² of space. What is the area of the circle? How many people can fit in the pitching circle?

Rewrite the equation of this circle in standard form: x² + 14x + y² + 16y + 75 = 0

During the summer time you decide to set up a sprinkler to keep you cool. Assuming with full water pressure the sprinkler can spray everything within a four-foot radius. The sprinkler has been set up to only hit the sector where you are sitting. If it is set to spray a sector area of 9.75 square meters, to what angle is the sprinkler set? Round to the nearest hundredths of a degree. 69.86⁰ 75.23⁰ 109.63⁰ 139.73°

Which equation describes the circle with center (5,-1) and radius 7? A (x-5)² +(y + 1)² = 7 B (x-5)² +(y+1)² = 49 C (x + 5)²+(y-1)³ = 7 D (x+5)² +(y-1)² = 49

(1 point) Find the length of the arc on the unit cicle that is defined by the given angle. (a) π/4 radians (b) 2 radians (c) 1.6 radians (d) 46°

Find the radius of a circle on which a central angle measuring 2 radians intercepts an arc on the circle with a length of 35% kilometers. A. 32.0 km B. 20.0 km C. 30.5 km D. 52.5 km