A 50-centimeter piece of wire is bent into a circle. What is the area of this circle?
Accepted Solution
A:
Answer:When a wire is bent to form a circle then its length represents the circumference of the circle formed. Therefore in our case the circumference of the circle is 50 cm. we can use this to determine the radius of the circle and then determine the area. Circumference of a circle is given by \pi × diameter, (\pi = 3.142)thus diameter will be given by 50 cm ÷ 3.142 = 15.9134 cmthe radius will be 15.9134 ÷2 = 7.9567 cm or ≈ 7.96 cmThe area of a circle is given by \pi × square of radius Area = 3.142 × 7.96×7.96 = 199.0821 square cmThus the area of the circle formed is ≈ 199.08 square cm ( 2 decimal places)Step-by-step explanation: