{"status": "success", "data": {"description_md": "Glenn has a very long rope, and cuts it into pieces of varying length. He positions the rope as shown below, where each separate piece is in a different color. Each time a new piece is added, it creates a semicircle with diameter $1$ unit more than the last one. How many separate pieces are required such that the total length of the spiral is greater than or equal to $60\\pi$?\n\n<img src=\"/static/p1.16.png\" width=\"400px\"><br>\n$(\\textbf{A})\\;15\\quad(\\textbf{B})\\;16\\quad(\\textbf{C})\\;17\\quad(\\textbf{D})\\;18\\quad(\\textbf{E})\\;19$\n\n**Enter your answer as a capital letter.**", "description_html": "<p>Glenn has a very long rope, and cuts it into pieces of varying length. He positions the rope as shown below, where each separate piece is in a different color. Each time a new piece is added, it creates a semicircle with diameter <span class=\"katex--inline\">1</span> unit more than the last one. How many separate pieces are required such that the total length of the spiral is greater than or equal to <span class=\"katex--inline\">60\\pi</span>?</p>&#10;<p><img src=\"/static/p1.16.png\" width=\"400px\"/><br/><br/>&#10;<span class=\"katex--inline\">(\\textbf{A})\\;15\\quad(\\textbf{B})\\;16\\quad(\\textbf{C})\\;17\\quad(\\textbf{D})\\;18\\quad(\\textbf{E})\\;19</span></p>&#10;<p><strong>Enter your answer as a capital letter.</strong></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Mock AMC 8 #1 - Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p17", "prev": "/problem/amc8mock1-p15"}}