Question

Give me your answer ​

Answer 1

${bd}^{2} = {ad}^{2} + {ab}^{2}$

${bd}^{2} = {6}^{2} + {8}^{2}$

${bd}^{2} = 36 + 64$

${bd}^{2} = 100$

$bd = \sqrt{100}$

$bd = 10 \: cm$

$area \: of \: rectangle = l \times b$

$= 8 \times 6 = 48 \: {cm}^{2}$

$radius \: of \: circle = \frac{diameter}{2}$

$= \frac{bd}{2}$

$= \frac{10}{2} = 5 \: cm$

$area \: of \: circle = \pi {r}^{2}$

$= \frac{22}{7} \times {5}^{2}$

$= \frac{22}{7} \times 5 \times 5$

$= \frac{550}{7}$

$area \: of \: shaded \: region = (\frac{550}{7} - 48) {cm}^{2}$

$= ( \frac{550 - 336}{7} ) {cm}^{2}$

$= \frac{214}{7} {cm}^{2}$