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Find the area of a circle whose circumference is 66 cm. |
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Answer» We know that the circumference of a circle of radius r is given by 2\(\pi\). Given that the circumference of a circle is 66 m. Therefore, 2\(\pi\) = 66 m ⇒ r = \(\frac{66}{2\pi}\) = \(\frac{66}{2 \times \frac{22}{7}}\) = \(\frac{3 \times 7}{2}\) = \(\frac{21}{2}\) = 10.5 m. Hence, the radius of the circle is r = 10.5 m Now, the area of the circle is \(\pi\)r2 = \(\frac{22}{7}\) × 10.5 × 10.5 = 231 × 1.5 = 346.5 m2 . Hence, the area of circle is 346.5 m2 . |
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