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Question

Hi,

This is rather confusing as the only measurement given is 12cm. Need help to explain how to solve this.

Thank you.

Answer

(a) perimeter of figure 1 = 3/4 of circle perimeter + 2 * radius

 perimeter of figure 2 = 3/4 of circle perimeter + 4 * radius

Note : 4 radius for figure 2 because there are 2 radius on both ends, at the centre, the straight line is divided into 3 equal parts and each part is half radius, so 4 of them give another 2 radius.

So difference in perimeter between figure 2 and figure 1 = 2 * radius = 12 cm

radius = 6cm

Perimetr of figure 1 = 3 * 2 * 3.14 * 6/4 + 2 * 6 cm = 28.26 + 6 cm = 34.26 cm

(b) Area of figure 2 = 3/4 of area of circle = 3 * 3.14 * (6)²/4 = 84.78 cm²

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