geometric quantities

What is the US customary

inches (In)

Feet (ft)

yards (yd)

Miles (mi)

What is the metric

millimeters (mm)

centimeters (cm)

meters (m)

kilometers (km)

perimeter

distance around a shape

find the perimeter

-missing long side

-missing short side

-perimeter

for the missing long side, all you have to do is add 6 and 5 together

for the missing short side, all you need to do is subtract 3 from 10

the perimeter is all teh sides added together 10+6+3+5+7+11= 42

circumference

distance around a circle

How can you find the circumference of a circle

C= 2 times 3.14 times radius

How to find the length of an arc?

c= 2 times 3.14 times radius then mulitply the central angle measure/ 360 to get your answer

How to find the perimeter of this curved shape?

S

add 3 +3 +6 + the length of the semicircular top

okay so we can find the length of the top by calculating 3.14 times Radius

the radius is ½ of 6 so 3 and pie time 3 is 9.42

now add all together to make 21.42in

area

how much surface space something takes up. measured in square units

in² ft² yd² mi² m²

Area for Square Formula

A= l x l = l²

Area for Rectangle Formula

A= l x W

Area for Triangle Formula

A= ½ x b x h

Area for parallelogram Formula

A= h x b

Area for trapezoid Formula

a= ½ x h x (b1 + b2)

Area for circle Formula

A = 3.14 x r²

Area for Rhombus Formula

A= ½ x d1 x d2

What if we have an irregular shape to find the area area.

well the square we use l x l

for the semi circle we find teh area of circle and tehn divide by two

3.14 × 1²/2 =1.57

then we add the three areas, 7.14

Volume

is how much space a 3-D object take up

Volume of a Rectangular Prism

V= l x w x h

Volume of a traingular prism

v = b x h x 1 / (over not 1/2) 2

Volume of a cylinder

v = 3.14 x r² x h

Volume of a cone

v= 3.14 x r² x h (over) / 3

Volume of a rectangular pyramid

v = l x w x h (over) / 3

Volume of a sphere

v= 4/3 × 3.14 x r ³

find area of shaded region

(12×10) - (7×2) =120 -14 =106m²

what is the area of this following shape

240 ft²

the height of the traingle is 12-8 =4ft and the base of the triangle is 24ft

(24×8) + ½ (24× 4)

=192 + ½ x 96 =

192+48=

240ft²

what is the area

152.52 ft ²

(12×8) +1/2 (3.14 × 6²) = 96

96 + ½ x 113.04 = 96 + 56.52 =

what is the area

126 m ²

(15 x 10) – (6 x 4) = 150 – 24 = 126 m²