innie and outie angles
Area of Polys
similar but different
Arc & Sec
throwback (Int 1)
200
Use single interior angle formula
A single interior angle for a regular 22-gon
180(n-2)/n
180(22-2)/22 = 163.63
200
If the area of each triangle is 14.5 square inches, then what is the area of the regular decagon?
(14.5)*10 =145
200
Scale factor = r
Equation for area with scale factor?
r2
200
Sector relates to area just like Arc relates to _______
circumference
200
For the area model, fill in the missing parts
(x + 8)(x+3) = x2 +11x + 24
300
Use Interior Angle sum Formula
the sum of interior angles in a 74-gon
180(n-2)
180(74-2) = 12960
300
What is the area of the regular octagon to the right? SHOW YOUR STEPS!
10 (base)
5/tan(22.5) = 12.07 (height)
(10*12.07)/2 = 60.35
60.35*8 = 482.8
300
Equation for Sector
Sector =
pi r^2
300
Solve for the variable
14 + 4(2x - 4) = 46
x =6
400
What are the three angle measures of one of the triangles?
36, 72, 72
400
What is the exact area of the regular hexagon to the right given its perimeter is 90 cm? SHOW YOUR STEPS!
90/6 = 15 (base)
7.5/tan(30)= 12.99 (height)
(15*12.99)/2=97.43
97.43*6 = 584.55
400
Decide if the shapes are similar. Justify your conclusion.
7 * 3 = 21
40 * 32 = 360
yes
400
Equation for arc length
Arc =
2 r pi or dpi
400
Write the equation for the graph
y= 2x+4
400
the number of sides of an n-gon if the sum of the interior angles is 2700°
180(n-2) =2700
(n-2)= 15
n=17
400
Ben has two bags of grass seed, each will cover 1250 square feet of space. He wishes to create a square garden with a circular lawn in the middle, and fill the corners with flowers. If the square is 70 feet on each side, does he have enough grass seed for the circular lawn? Justify your answer completely.
No
Grass he has: 1250*2= 2500
Grass area needed
35^2pi = 3848.45
400
Find the area of the rectangle X.
14.4/16 =0.9
224 * (0.92) = 181.44
400
what are the arc length and the area of the shaded sector? Write your answers in terms of pi
Sector=
pi 5^2 (120/360) =8.33pi
Arc=
2*5*pi(120/360)= 3.33pi
400
Solve for x
36 = 274x
x=.5
500
the number of sides of a regular n-gon if one exterior angle measures 40°.
360/40 = 9
500
Find the area of the shaded region in the septagon outside the circle.
Area of circle: 50.27
Area of Septagon: 98.28
98.28-50.27= 48.01
500
what are the arc length and the area of the shaded sector? Write your answers in terms of π
Sector=
pi 3^2 (180/360) =4.5pi
Arc=
2*3*pi(180/360)= 3pi