A simple animated PowerPoint file demonstrating how to work out arc length and sector area by thinking of them as fractions of the circle, with questions to practise the basic techniques and then some more challenging questions building up to finding the area and perimeter of a segment. All suitable for both Foundation and Higher students except the very last question, which requires the use of the triangle area formula and the cosine rule and so is Higher only (and is labelled as such).
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I love this - really helpful for learning myself. Could you please show working out for answers - really stuck on the challenge question at the end. Thanks!
lynneinjapan
a month ago
For the area, find the area of the sector as you have been for other questions, and find the area of the triangle using ½ab sin C, then subtract.
For the perimeter, find the arc length as for previous questions, and find the unknown side of the triangle by using either sine rule (since the triangle is isosceles so you can work out the missing angles) or cosine rule. Then just add the two lengths together.
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