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Harman [31]
3 years ago
7

Hi can someone please help me? :( im not sure where im going wrong. ty!!

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

The triangle ABC is a right angled triangle , right angled at C because it is the angle subtended by the diameter

Now OA = OB = OC = 4 cm (radii)

AB = OA + OB = 8 cm

By pythagoras theorem ,

AB^2 - BC^2 = AC^2

\sqrt{64 - 16} = AC

AC =4 \sqrt3

shade region area = area of semicircle - area of triangle

= 1/2 \pi r^2 - 1/2 × base × height

=1/2 × 16 \pi - 1/2 × 4 × 4\sqrt3

=8\pi - 8\sqrt3

=8(\pi - \sqrt3)

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