Radius of Circle of New Atom Smasher Date of Exam November 2017 Subject Mathematics, Surveying and Transportation Engineering Problem A new kind of atom smasher is to be composed of two tangents and a circular arc which is concave toward the point of intersection of the two tangents. Each tangent and the arc of the circle is 1 mile long, what is the radius of the circle? Use 1 mile = 5280 ft. A. 1437 ft. C. 1347 ft. B. 1734 ft. D. 1374 ft. Answer Key Click here to show or hide the Answer Key [ A ] Solution Click here to expand or collapse this section $2\pi r - 2(r\theta) = 5280$ $r(\pi - \theta) = 2640$ $r = \dfrac{2640}{\pi - \theta}$ $r = \dfrac{2640}{\pi - \arctan \left( \dfrac{5280}{r} \right)}$ $r = 1437.44 ~ \text{ft.}$ ← answer Category Plane Geometry Arc of Circle Circular Arc Tangent Tangent Line Atom Smasher Radius Radius of Circle Log in or register to post comments
