Question

Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. If the wire picture frame were stretched out to make one complete circle, what would its radius be? The perimeter of the wire frame is 62.8 inches because 14 x 3.14 + 4 x 3/2 x 3.14.

(a) 7.0 inches
(b) 7.5 inches
(c) 8.0 inches
(d) 8.5 inches

Answer 1

The radius of the wire picture frame when stretched out to make a complete circle is approximately 9.977 inches.

Step-by-step explanation:

To find the radius of the wire picture frame when stretched out to make a complete circle, we need to use the equation for the circumference of a circle, which is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, the perimeter of the wire frame is given as 62.8 inches. So, we can write the equation as 62.8 = 2πr.

To solve for r, we first divide both sides of the equation by 2π, giving us r = 62.8 / (2π).

We can then use a calculator to compute the value of r, which is approximately 9.977 inches. Therefore, the radius of the wire picture frame when stretched out to make a complete circle is approximately 9.977 inches.