The diameter of a coin is …
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Sia ? 6 years, 4 months ago
Diameter of 1 coin = 1 cm
Then radius of 1 coin {tex}= \frac { 1 } { 2 } \mathrm { cm }{/tex}
{tex}\therefore {/tex} side of square = 1 cm
{tex}\therefore{/tex} Area of shaded region = Area of square - 4 {tex}\times{/tex} Area of 1 sector
{tex}= ( \mathrm { side } ) ^ { 2 } - 4 \times \frac { \theta } { 360 ^ { \circ } } \pi r ^ { 2 }{/tex}
{tex}= 1 \times 1 - 4 \times \frac { 90 } { 360 ^ { \circ } } \times 3.1416 \times \frac { 1 } { 2 } \times \frac { 1 } { 2 }{/tex}
{tex}= 1 - \frac { 3.1416 } { 4 }{/tex}
= 1 - 0.7854
= 0.2146 cm2
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