Question

in the figure if ab16cm and cb 12cm . find the area of shaded region​

Answer 1

Step-by-step explanation:

AB = 16 cm

CB = 12 cm

$ac \: \sqrt{ {ab}^{2} + {bc}^{2} }$

$ac = \sqrt{ {16}^{2} + {12}^{2} } \\ ac = \sqrt{256 + 144} \\ ac = 20 \: cm$

ac is the diameter of the semi circle acq

Area of acq = π r²/2

$\frac{22}{7} \times 10 \times 10 \times \frac{1}{2} \\ area \: = 157.14 \: {cm}^{2}$

Area of triangle ABC

$\frac{1}{2} \times 12 \times 16 \\ area \: = 96 \: {cm}^{2}$