Question

Find the area of the shaded region. Round to the nearest tenth if necessary.

22 cm
15 cm
31 cm

Answer 1

`area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^(2) - {(31 - 22)}^(2) } = 12 \: cm \\ area = (1)/(2) h(a + b) + (1)/(2) \pi {r}^(2) \\ = ( (1)/(2) * 12 * (22 + 31)) + ( (1)/(2) * (22)/(7) * ( (12)/(2) ) {}^(2) ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^(2)`