The formula for circumference = 2*Pi*r
R= radius. Radius is half of the diameter, and d= 20. This means that radius = 10. Now we have a full formula to work with.2*Pi*10.
Substitute 3.14 for pi.
3.14 * 10 = 31.4.
31.4*2 = 62.8.
62.8 rounded equals 63.
C = 63.
Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
and the volume of a cone is given by:
since both have the same height and radius, we can solve each equation for 
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
and from the cone's volume formula:
matching the two previous expressions:
we solve for the volume of a cone 
:
substituting the value of the cylinder's volume 
Answer:
a) Circumference of the circle = 56.52 in
b) Area of the circle = 254.34 in²
Step-by-step explanation:
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Note that:
Pizza is Circular in shape
a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the circumference of a circle when given that diameter = πD
Where D = Diameter of the circle = 18 in
π = 3.14
Hence,
Circumference of the circle = 3.14 × 18 in
= 56.52 in
b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.
The formula for the area of a circle = πr²
Radius = Diameter/2
Diameter = 18 in
Radius = 18 in/2 = 9 in
The area of the circle = 3.14 × 9²
= 254.34 in²
The 13 stripes alternate red and white: 7 red and 6 white.
Each of 13 stripes is (39 in. / 13) = 3 in. wide.
4 of the 7 red stripes are 39 in. long. The other 3 are 65 in. long.
The total area (l*w) of the flag is (65 in.)*(39 in.)=2535 sq. in.
The red stripes make up an area (l*w) that is:
4*(area of short stripes) + 3*(area of long stripes)
Red area is 4*(39*3) + 3*(65*3) = 1053 sq in.
The fraction of the flag that is red is:
1053 sq. in. / 2535 sq. in.
Answer:
It moves horizontally 1/2 units to the left
It moves vertically 2 units up
Step-by-step explanation:
∵ y = Acos(Bx - C) + D
∵ y = 2 - 3cos(2x + 1)
∴ The phrase of shift:
∵ The horizontally shift is -C/B = - 1/2 = -1/2
∴ It moves 1/2 units to the left
∵ The vertically shift is D
∴ It moves 2 units up
