<span>Given a circle with radius r = 8 and a sector with subtended angle measuring 45°, find the area of the sector and the arc length.
They've given me the radius and the central angle, so I can just plug into the formulas. For convenience, I'll first convert "45°" to the corresponding radian value of π/4:
A = ((pi/4)/2)(8^2) = (pi/8)(8^2) = 8pi, s = (pi/4)(8) = 2pi
area A = 8π, arc-length s = 2π
Given a sector with radius r = 3 and a corresponding arc length of 5π, find the area of the sector.
For this exercise, they've given me the radius and arc length. From this, I can work backwards to find the subtended angle.
Then I can plug-n-chug to find the sector area.
5pi = (theta)(3), (theta) = (5/3)pi
So the central angle is (5/3)π.
Then the area of the sector is:
A = ((5/3)pi / 2)*(3^2) = ((5/6)pi)*(9) = (15/2)pi
A = (15 pi) / 2
</span><span>90/360 = 0.25 pi sq ft</span>
1. 1/2
2. Across Y axis
3. 3 rights and 2 ups (3, 2)
Answer:
666
Step-by-step explanation:
666
666
666
666
666
666
666
666
66
6
6
6
56
6
6
6
Answer:
No
Step-by-step explanation:
Since the rational number -0.4 is a negative, it cannot have a greater value than 1/3 since it is a positive.
Though, the rest of the sentence is true.
-0.4 > -2
-0.4 < 4/5
Answer:
12 Scoops
Step-by-step explanation:
Darla has 4 Cylinder Shaped Buckets
Volume of the Cylinders 
The scoop is cone shaped and:
Volume of the Cone Scoop 
Since the radius and height of the cone scoop and cylindrical buckets are the same,
The number of Cone Scoops it will take to fill the buckets is:
Total Volume of Buckets/Volume of Cone Scoops
It will take 12 Scoops to fill the 4 buckets.
