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| 1. |
The circumference of a circle exceeds it\'s diameter by 180cm then what will it\'s radius |
| Answer» Let the radius of the circle be r cm.Its circumference\xa0{tex} = 2\\pi r\\;cm{/tex}As per the problem,The circumference of the circle exceeds its diameter\xa0by 18 cm{tex} \\Rightarrow {/tex}\xa0Circumference – Diameter =180 cm{tex} \\Rightarrow 2\\pi r - 2r = 180{/tex}{tex} \\Rightarrow \\left( {2 \\times \\frac{{22}}{7} \\times r} \\right) - 2r = 180{/tex}{tex} \\Rightarrow \\left( {\\frac{{44r - 14r}}{7}} \\right) = 180{/tex}{tex} \\Rightarrow \\frac{{30r}}{7} = 180{/tex}{tex} \\Rightarrow r = \\frac{{180 \\times 7}}{{30}}{/tex}{tex}= \\frac{{420}}{{10}}{/tex}= 42 cmHence the radius of the circle is 42 cm. | |