Question

1. A 30 ft copper wire is cut into 3 equal pieces. Each piece of copper is re-formed to make 3 complete circles.

(a) What is the circumference of each circle?
(b) What is the radius of each circle? Round your answer to the nearest tenth. Use π 3.14.
(c) What is the area of each circle? Round your answer to the nearest tenth. Use π = 3.14.
Answer:

Answer 1

a). If you cut 30-ft of wire into 3 equal pieces, then each piece
pretty much has to be 10-ft long, no matter what you do to it.
Whatever shape you make it, the perimeter of the shape is 10-ft.
If you form it into a perfect circle, then the circumference of the
circle is 10-ft.

b). Remember that in ANY circle

Circumference = (π) times (diameter)

10-ft = (3.14) x (diameter)

Divide each side by 3.14: 10-ft/3.14 = Diameter

Radius = 1/2 the diameter
Diameter = 2 x radius 10-ft/3.14 = 2 x radius

Divide each side by 2: 5-ft / 3.14 = radius

1.59-ft = radius .

c). Area of any circle = (π) times (radius)²

Area = (3.14) x (1.59-ft)²

= (3.14) x (2.53 ft²)

= 7.94 ft² (rounded)