1.3.1 Geometry

Question 1

What is the second way of measuring an angle?

Answer 1

Radian

Question 2

What is the radian, and what does this mean the angle is?

Answer 2

Part of the circumference equal to the radius. This means the angle is radian 1

Question 3

How is the length of the arc always given?

Answer 3

Angle in radians x radius

Question 4

What is the equation for angle in radians?

Answer 4

Length of the arc / radius

Question 5

What is 30 degrees in radians?

Answer 5

Π/6

Question 6

What is 45 degrees in radians?

Answer 6

Π/4

Question 7

What is 60 degrees in radians?

Answer 7

Π/3

Question 8

What is 90 degrees in radians?

Answer 8

Π/2

Question 9

Find the angle in radians subtended by an arc 12.9cm long whose radius is 4.6cm?

Answer 9

angle in radians= length of arc/ radius

12.9 divided by 4.6 = 2.804 radians

Question 10

How do you work out the degrees angle from radians?

Answer 10

Angle in degrees = 180x radians/ Π

Question 11

How do you express an angle in radians from degrees?

Answer 11

Πxdegrees / 180

Question 12

What is an acute angle?

Answer 12

Less than 90

Question 13

What is a right angle?

Answer 13

90

Question 14

What is a reflex angle?

Answer 14

Bigger than 180

Question 15

What is a complementary angle?

Answer 15

Sum of the angles = 90

Question 16

What is a supplementary angle?

Answer 16

Sum of angles = 180

Question 17

When two straight lines intersect what are the opposite angles?

Answer 17

Equal

Question 18

When parallel lines are cut by a transverse which angles are the same?

Answer 18

The angles in the same positions (corresponding).

The opposite angles on the opposing (alternate)

Question 19

What is a cartesian graph?

Answer 19

Standard x and y that intersect at 0

Question 20

If the data line in a graph is straight what does this mean for the data?

Answer 20

It is directly proportional.

Question 21

What is a hyperbola in a graph?

Answer 21

A data line that is curved.

Question 22

Where is the sine waves start point?

Answer 22

Zero

Question 23

Where is the cosine start point?

Answer 23

Its maximum output.

Question 24

What is a nomogram?

Answer 24

A graph used to solve complex problems with more than one variable.

Question 25

What are nomograms also known as?

Answer 25

Alignment graphs.