Quiz about Modern Math: Circle

Question 1

A chord that passes through the center of the circle is called?

Accepted Answer

circumference

Answer

radius

Answer

arc

Answer

diameter

Question 2

What is $$\overline{PQ}$$ ?

Accepted Answer

chord

Answer

radius

Answer

center

Answer

diameter

Question 3

What is line BD?

Accepted Answer

secant

Answer

chord

Answer

radius

Answer

tangent

Question 4

What is arc DF?

Accepted Answer

minor arc

Answer

major arc

Answer

semicircle

Answer

radius

Question 5

Drew has trained his dog to jump through a ring. According to his measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference?

Accepted Answer

10.99 ft

Answer

21.98 ft

Answer

12.25 ft

Answer

38.47 ft

Question 6

A cruise ship has a large circular window. It has a diameter of 6 meters. What is the window's area?

Accepted Answer

28.26 square meters

Answer

113.04 square meters

Answer

9.42 square meters

Answer

18.84 square meters

Question 7

Find the circumference of a circle with a radius of 12.5 millimeters

Accepted Answer

78.50 mm

Answer

37.68 mm

Answer

18.84 mm

Answer

none of these

Question 8

In the equation $$\left(x\ -3\right)^2\ +\ \left(y\ -\ 2\right)^2=16$$ , the center of the circle is ___?

Accepted Answer

(3, 2)

Answer

(-2, -3)

Answer

(-3, -2)

Answer

(2, 3)

Question 9

In the equation $$\left(x+2\right)^2\ +\ \left(y\ -\ 3\right)^2\ =4$$ , the radius of the circle is ____?

Accepted Answer

2

Answer

3

Answer

4

Answer

16

Question 10

In the equation $$\left(x\ -\ 4\right)^2\ +\ \left(x\ -\ 3\right)^2=25$$ , the center of the circle is at ____?

Accepted Answer

(4, 3)

Answer

(-3, -4)

Answer

(-4, -3)

Answer

(3, 4)

Question 11

Write the standard equation of the circle given the center and radius; center (0,0) and radius: 3

Accepted Answer

$$x^2\ +\ y^2\ =\ 9$$

Answer

$$x^2\ +\ y^2\ =\ 3$$

Answer

$$x^2\ +y^2\ =\ 6$$

Answer

$$x^2\ +\ y^2\ =\ 16$$

Question 12

The diameter of a circle has a length 12, the center is at (-5, -2). Give the equation of the circle

Accepted Answer

$$\left(x+5\right)^2\ +\ \left(y-2\right)^2=36$$

Answer

$$\left(x-2\right)^2\ +\ \left(y+5\right)^2=36$$

Answer

$$\left(x-5\right)^2+\left(y+2\right)^2=6$$

Answer

$$\left(x+2\right)^2+\left(y-5\right)^2=6$$

Question 13

In order to convert from general form to center-radius form, you must ____.

Accepted Answer

complete the square

Answer

multiply out

Answer

factor

Answer

expand

Question 14

How can we find the general form of a circle?

Accepted Answer

multiply out the center-radius form

Answer

divide out the center-radius form

Answer

factor out the center-radius form

Answer

add up the center-radius form

Question 15

What is the radius of the given circle: $$x^2+y^2-10x+8y-23=0$$ ?

Accepted Answer

8

Answer

4

Answer

2

Answer

10

Question 16

Determine the center and radius: $$x^2+y^2+14x-2y=-1$$

Accepted Answer

center = (-7,1), radius = 7

Answer

center = (-7,2), radius = 3

Answer

center = (-4, 1) radius = 5

Answer

none of these

Question 17

Determine the equation of the circle in standard form: $$x^2+y^2+6x-12y+20=0$$

Accepted Answer

$$\left(x+3\right)^2+\left(y-6\right)^2=25$$

Answer

$$\left(x-3\right)^2+\left(y+6\right)^2=25$$

Answer

$$\left(x-3\right)^2+\left(y+6\right)^2=45$$

Answer

$$\left(x+3\right)^2+\left(y-6\right)^2=5$$

Modern Math: Circle

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