{"status": "success", "data": {"description_md": "Spot's doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. What is the area, in square yards, of the region outside of the doghouse that Spot can reach?\n\n$\\text{(A)}\\ \\dfrac{2\\pi}{3} \\qquad \\text{(B)}\\ \\dfrac{2}{\\pi} \\qquad \\text{(C)}\\ \\dfrac{5\\pi}2 \\qquad \\text{(D)}\\ \\dfrac{8\\pi}3 \\qquad \\text{(E)}\\ 3\\pi$", "description_html": "<p>Spot&#8217;s doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. What is the area, in square yards, of the region outside of the doghouse that Spot can reach?</p>&#10;<p><span class=\"katex--inline\">\\text{(A)}\\ \\dfrac{2\\pi}{3} \\qquad \\text{(B)}\\ \\dfrac{2}{\\pi} \\qquad \\text{(C)}\\ \\dfrac{5\\pi}2 \\qquad \\text{(D)}\\ \\dfrac{8\\pi}3 \\qquad \\text{(E)}\\ 3\\pi</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2002 AMC 10A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p20", "prev": "/problem/02_amc10A_p18"}}