Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Kiran bent some wire around a rectangle to make a picture frame.the rectangle is 8 inches by 10 inches.1) find the perimeter of the wire picture frame2) if the wire picture frame was stretched out to make one complete circle, what would the radius be?

Kiran Bent Some Wire Around A Rectangle To Make A Picture Framethe Rectangle Is 8 Inches By 10 Inches1 Find The Perimeter Of The Wire Picture Frame2 If The Wire class=

Sagot :

Answer:

[tex]\begin{gathered} 1.\text{ 62.8 inches} \\ 2.\text{ 10 inches} \end{gathered}[/tex]

Step-by-step explanation:

Since the rectangle is 8 inches by 10 inches, the circles are:

1. Use the equation of the perimeter of a circle, the radio of the circle is 1 inch, therefore:

*There are 14 half circles (7 full circles) and 4 of the 3/4 circles.

[tex]\begin{gathered} \text{ Total perimeter= }7\cdot(2\cdot\pi\cdot1)+4\cdot(\frac{3}{4}\cdot(2\cdot\pi\cdot1)) \\ \text{ Total perimeter=}20\pi \\ \text{ Total perimeter=62.8 inches} \end{gathered}[/tex]

2. Now, for the radius of the wireframe if you stretched out the perimeter would be 62.8 inches, substitute for the perimeter and solve for the radius:

[tex]\begin{gathered} 62.8=2\cdot\pi\cdot r \\ r=\frac{62.8}{2\pi} \\ r=10\text{ inches} \\ \text{ The radius would be 10 inches.} \end{gathered}[/tex]

View image LauralynN552230
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.