Geometry

Question 1

Diameter

Answer 1

d=2r

Question 2

Circumference

Answer 2

c/d = π

or

πd = c

or

c = 2πr

Question 3

Circle Area

Answer 3

A = πr²

Question 4

Central Angle

Answer 4

A central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B

Question 5

Sector Area

Answer 5

Sector Area = Fraction x Entire Area

Question 6

Arc Length

Answer 6

Arc Length = Fraction x Entire Circumference

Question 7

Sum of internal angles of a triangle

Answer 7

180º

Question 8

Triangle

Perimeter

Answer 8

Sum of all 3 sides

Question 9

Triangle

Area

Answer 9

¹/₂ bh

Question 10

How do you find the perimeter of a right triangle?

Answer 10

a² + b² = c²

Question 11

Common triangle triples

Right Triangles

Answer 11

3-4-5

6-8-10

5-12-13

18-24-30

Question 12

Parallelogram

Area

Answer 12

base x height

Question 13

The diagonal of a rectangle

Question 14

semi circle

Answer 14

Question 15

What is the ratio of a 30-60-90

Answer 15

x : x√3 : 2x

The hypotenuse is 2x

the shortest side (30°) is x

60° Is x√3

Question 16

A triangle inscribed in a semi circle is

Answer 16

A right triangle

Use Pythagorean theorem

Question 17

Area of a trapezoid

Answer 17

Question 18

Slope of a line

Answer 18

Question 19

Ratio of a 45-45-90

Answer 19

Question 20

Relationship between sides and angles of a triangle

Answer 20

Question 21

Sum of the angles of any polygon

Answer 21

Question 22

In the coordinate plane, a circle has a center of (2,-3) and passes through the point (5,0). What is the area of the circle?

Answer 22

Answer E

Question 23

A ladder of a fire truck is elevated to an angle of 60⁰ and extended to a length of 70 ft. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach?

Answer 23

Question 24

Relationship between a central angle and the arc it intercepts is

Answer 24

Central angle / 360 x circumference = arc length

Question 25

Relationship between a an inscribed angle and the arc it intercepts is

Answer 25

Inscribed angle = 1/2 intercepted arc

Question 26

Surface area of a cylinder

Answer 26

A = 2πrh + 2πr²

Question 27

Volume of cylinder

Answer 27

πr²h

Question 28

Central angle of 1/4 circle

Answer 28

90º

Question 29

Circle

sector area = fraction x entire area

Answer 29

sector area = fraction x entire area

Question 30

Circle

arc length

Answer 30

Arc length = fraction x entire circumference

Question 31

Angles of triangle must sum to

Answer 31

180º

Question 32

Angles of right isosceles

Answer 32

45-45-90 has two equal sides