Answer :
Answer:
1) r = 4 in; diameter = 8 in & circumference = 25.13 in
2) r = 6 m; diameter = 12 m & circumference = 37.70 in
3) r = 5 in; diameter = 10 in & circumference = 31.4 in
Step-by-step explanation:
Circumference of circle:
Circumference of the circle is the perimeter of the circle.
Diameter of the circle is a line segment that passes through the center of the circle and whose endpoints lie on the circle. Radius is half the diameter.
1) Radius = r = 4 in
Diameter = 2*r
= 2*4
= 8 in
Circumference = 2πr
= 2 * 3.1415 * 4
= 25.132
= 25.13 inches
2) Diameter = 12 m
r = diameter ÷ 2
= 12 ÷ 2
r = 6 m
Circumference = 2πr
= 2 * 3.1415 * 6
= 37.698
= 37.70 inches
3) r = 5 inches
diameter = 2 *r
= 2 *5
= 10 in
Circumference = 31.4 in
To find the circumference of a circle you must use the formula:
Circumference (C) = pi x diameter
pi (or the symbol with two legs and a squiggle on top. My computer doesn’t have this symbol) is generally given as 3.14; it goes on forever so most classes have you use 3.14
The diameter of a circle is twice the length of the radius. With this information known you can now answer your questions.
Circle 1.
Diameter = 2r
Diameter = (2)(4)
Diameter = 8 inches
Circumference = (pi)(8)
Circumference = (3.14)(8)
Circumference = 25.1 inches
Circle 2
Radius = diameter/2
Radius = 12/2
Radius = 6 meters
Circumference = (pi)(diameter)
Circumference = (3.14)(12)
Circumference = 37.7meters
Circle 3
Diameter = (2)(radius)
Diameter = (2)(5)
Diameter = 10 inches
Checking the Circumference answer:
Circumference = (pi)(Diameter)
Circumference = (3.14)(10)
Circumference = 31.4 inches
I hope this helps you. Please let me know if it did. Thank you.
Circumference (C) = pi x diameter
pi (or the symbol with two legs and a squiggle on top. My computer doesn’t have this symbol) is generally given as 3.14; it goes on forever so most classes have you use 3.14
The diameter of a circle is twice the length of the radius. With this information known you can now answer your questions.
Circle 1.
Diameter = 2r
Diameter = (2)(4)
Diameter = 8 inches
Circumference = (pi)(8)
Circumference = (3.14)(8)
Circumference = 25.1 inches
Circle 2
Radius = diameter/2
Radius = 12/2
Radius = 6 meters
Circumference = (pi)(diameter)
Circumference = (3.14)(12)
Circumference = 37.7meters
Circle 3
Diameter = (2)(radius)
Diameter = (2)(5)
Diameter = 10 inches
Checking the Circumference answer:
Circumference = (pi)(Diameter)
Circumference = (3.14)(10)
Circumference = 31.4 inches
I hope this helps you. Please let me know if it did. Thank you.