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adoni [48]
3 years ago
15

Find the area of a sector

Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

990 cm²

Step-by-step explanation:

Given ratio of radii = a : b , then

ratio of areas = a² : b²

Here

ratio of radii = 50 : 30 = 5 : 3 , then

ratio of areas = 5² : 3² = 25 : 9

let x be the area of sector DEF , then using proportion

\frac{25}{2750} = \frac{9}{x} ← \frac{ratio}{area}

cross- multiply

25x = 24750 ( divide both sides by 25 )

x = 990

Area of sector DEF = 990 cm²

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