# Circle Questions and Answers

Math

CircleGraph 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.

Math

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

Math

CircleIf 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?

Calculus

CircleA 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.

Math

CircleJude 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

Math

CircleIf 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

Math

CircleWrite 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

Math

CircleThe 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..

Math

CircleComplete 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

Math

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

Math

CircleThe 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?

Math

CircleDuring 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°

Math

CircleWhich 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

Math

Circle(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°

Math

CircleFind 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