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anyanavicka [17]
2 years ago
14

Find the are of the blue shaded region.

Mathematics
2 answers:
ICE Princess25 [194]2 years ago
7 0

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43   (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Firdavs [7]2 years ago
6 0

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

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