Geometry (Circles Part. 1)

Question 1

Circle

Answer 1

The locus of all points equidistant from a central point.

Question 2

Tangent

Answer 2

A straight line or plane that just touches a curve at one point.

Question 3

Secant

Answer 3

A line that intersects the curve in at least two (Distinct) points.

Question 4

Chord

Answer 4

A line segment connecting two points on a curve.

Question 5

Minor Arc

Answer 5

An arc of a circle whose measure is less than 180°.

*Usually represented by only two letters “Arc (AB)”

Question 6

Major Arc

Answer 6

An arc of a circle whose measure is greater than 180°.

*Usually represented by three letters “Arc (ABC)”

Question 7

Radius

(Definition)

Answer 7

A straight line from the center to the circumference of a circle or sphere.

Question 8

Diameter

(Definition)

Answer 8

Any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Question 9

Radius (From Diameter)

Equation

Answer 9

r = d/2

Question 10

Diameter (From Radius)

Equation

Answer 10

d = 2r

Question 11

The Diameter of a circle is 16 units.

What is the Radius of the circle?

Answer 11

r = (d)/2

r = (16)/2

r = 8

Radius = 8 Units

Question 12

The Radius of a circle is 2 units.

What is the Diameter of the circle?

Answer 12

d = 2(r)

d = (2)2

d = 4

Diameter = 4 Units

Question 13

What is the Radius and Diameter of the following circle?

Answer 13

Radius = 8 ft

d = 2(r)

d = 2(8)

d = 16

Diameter = 16 ft

Question 14

What is the Diameter and Radius of the following circle?

Answer 14

Diameter = 12 in

r = (d)/2

r = 12/2

r = 6

Radius = 6 in

Question 15

Circumference

(Definition)

Answer 15

The distance around a circle.

Question 16

π (PI)

(Definition)

Answer 16

The ratio of the Circumference of a circle to its Diameter (3.142)

Question 17

π (From Circumference and Diameter)

(Equation)

Answer 17

π = c/d

Question 18

A circle has a circumference of 907.46 units and a diameter of 289 Units.

What is the ratio of the Circumference to the diameter?

Answer 18

π = c/d

π = 907.46/289

π = 3.14 Units

Question 19

π (From Circumference and Radius)

(Equation)

Answer 19

π = c/2r

Question 20

A circle has a Circumference of 50.24 Units and a Radius of 8 units.

What is the ratio from the Circumference to the diameter?

Answer 20

π = c/2r

π = 50.24/16

π = 3.14

Question 21

Circumference (From Diameter and π)

(Equation)

Answer 21

c = dπ

Question 22

Suppose the diameter of a circle is 6 units.

What is the Circumference?

Answer 22

c = dπ

c = (6)π

c = 18.85

Circumference = 18.85 Units

Question 23

Circumference (From Radius and π)

(Equation)

Answer 23

c = 2πr

Question 24

Suppose the radius of a circle is 3 units.

What is the Circumference?

Answer 24

c = 2π(r)

c = 2π(3)

c = 6π

Circumference = 18.85 Units

Question 25

Diameter (From π and Circumference)

(Equation)

Answer 25

d = c/π

Question 26

What is the diameter of the circle below?

Answer 26

d = (c)/π

d = 10/π

d = 3.18

Diameter = 3.18m

Question 27

Radius (From π and Circumference)

(Equation)

Answer 27

r = c/2π

Question 28

A circle has the circumference of 153.86 units.

What is the radius of the circle?

Answer 28

r = (c)/2π

r = (153.86)/6.28

r = 24.5

Radius = 24.5 Units

Question 29

Arc Measure

(Definition)

Answer 29

The measure of the central angle that intercepts an arc, measured in degrees.

Question 30

What is the Arc Measure, in degrees, of arc (AC) on circle P below?

Answer 30

174°

Question 31

In the figure below, line (AD) and line (CE) are diameters of circle P.

What is the measure of Arc (AEB) in degrees?

Answer 31

305°

Question 32

What is the Arc Measure of (YZ) in degrees?

Answer 32

59°

Question 33

In the figure below, line (AD) and line (BE) are diameters of circle P.

What is the Arc Measure of (CAD) in degrees?

Answer 33

296°