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Question:
The diagram below shows the triangle ABC , with AC = 6 cm , ∠ ABC= 0.3 radians and ∠ ACB =0.7 radians. The arc AD , where D lies on BC , is an arc of a circle with centre C and radius 6 cm. The arc DE , where E lies on AB , is an arc of a circle with centre B . The shaded region is bounded by straight lines EA and the arcs AD and DE .
(i) Show that BC =17.1 cm, correct to 1 decimal place.
(ii) Using BC =17.1 cm, find the length of arc ED , correct to 1 decimal place.
(iii) Using BC =17.1 cm and your result from part (ii), find the area of shaded region, giving your answer correct to 1 decimal place.
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