Sam has baked a circular cake. The cake has a diameter of 10 inches. Sam needs to know how much icing it will take to cover the top of the cake, which of the following was does Sam need to use to figure this out?
Choose the correct option?
10 x 3.14
5 x 2 x 3.14
5 x 5 x 3.14
Answers
Answer:
I have mentioned Answer below With process
Answer=(5X5X3.14)
Step-by-step explanation:
The solution is for each slice to have the same amount of the perimeter of the cake. (It’s essentially the same answer as dividing a circular cake into five slices).
Since the perimeter of the cake is 20 units (as marked by the grid ), then each of the five slices must have 4 units of edge. So, choose a point on the perimeter and then mark all the other points four units along:
We know that the slices are of equal size because the area of each slice is either a triangle, or the combination of two triangles (as shown below). The area of a triangle is half the base times the height. The triangles that make up the slices all have the same height, which is the perpendicular distance from the perimeter to the centre (in this case 2.5units). If the slice is a single triangle the base length is 4, and if the slice is two triangles, the two base lengths add up to 4. So the area of all slices is the same.
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(If you don’t believe me we can do the calculations here: the triangle slices have area 1/2 x 4 x 2.5 = 5. The area of the bottom left and top right slice is (1/2 x 1 x 2.5) + (1/2 x 3 x 2.5) = 5. The area of the bottom right slice is 2 x 1/2 x 2 x 2.5 = 5.)
Answer:
5 x 5 x 3.14
Step-by-step explanation:
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