Question

I need help ASAP
missed one question on the paper it also includes the shaded reigon

Answer 1

a) by phythagoras theorem

${ac}^{2} = {ab}^{2} + {bc}^{2}$

${ac}^{2} = {8}^{2} + {6}^{2} \\ \: \: \: \: \: \: \: = 64 + 36 = 100 \\ \: \: ac= \sqrt{100} = 10$

b) area of triangle=

$\frac{1}{2} \times base \times height$

$\frac{1}{2} \times 6 \times 8 = 24$

c) area of semi circle=

$\frac{\pi( {radius})^{2} }{2}$

here

$radius = \frac{diameter}{2} = 5$

area=

$\frac{\pi \times ( {5}^{2} ) }{2} = 12.5\pi$