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| 1. |
If the circumference of a circle exceeds it\'s diameter by 16.8 cm what is diameter of circle |
| Answer» Let, radius of the circle = r cmAccording to questionCircumference - Diameter = 16.8 cm{tex}\\Rightarrow 2\\pi r - 2r = 16.8{/tex}{tex}\\Rightarrow 2 \\times \\frac{{22}}{7} \\times r - 2r = 16.8{/tex}{tex}\\Rightarrow \\frac{{44r - 14r}}{7} = 16.8{/tex}{tex} \\Rightarrow \\frac{{30r}}{7} = 16.8{/tex}{tex} \\Rightarrow r = \\frac{{16.8 \\times 7}}{{30}} = \\frac{{117.6}}{{30}} = 3.92cm{/tex}{tex}\\therefore {/tex}\xa0Diameter of circle\xa0= 2r= 2 x 3.92 = 7.84 cm | |