Answer :
Final Answer:
The perimeter of the object with a radius of 5cm is 31.4cm.
Explanation:
The perimeter of a circle, also known as its circumference, is given by the formula [tex]\(P = 2πr\),[/tex] where [tex]\(r\)[/tex] is the radius of the circle and [tex]\(π\)[/tex] is the mathematical constant pi, approximately equal to 3.14. Substituting the given radius [tex]\(r = 5cm\)[/tex] into the formula, we get [tex]\(P = 2π \times 5cm = 10π cm\)[/tex]. Since [tex]\(π\)[/tex] is approximately 3.14, the calculation becomes [tex]\(P ≈ 10 \times 3.14cm ≈ 31.4cm\).[/tex]
To find the perimeter, or circumference, of the object with a radius of 5cm, we use the formula for the circumference of a circle: [tex]\(P = 2πr\).[/tex] Substituting the given radius [tex]\(r = 5cm\)[/tex] into the formula, we get [tex]\(P = 2π \times 5cm = 10π cm\).[/tex] To obtain a numerical approximation, we substitute the value of [tex]\(π\)[/tex], which is approximately 3.14, into the formula: [tex]\(P ≈ 10 \times 3.14cm ≈ 31.4cm\).[/tex]
Therefore, the correct option is 31.4cm, which is closest to the calculated value of the perimeter of the object. This result is obtained by applying the formula for the circumference of a circle and approximating the value of [tex]\(π\).[/tex]