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nordsb [41]
3 years ago
7

El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.

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

Answer:

Area of sector = 144.4π cm²

Step-by-step explanation:

Given:

Perimeter of circle = 40π cm

Given angle = 130°

Find:

Area of sector

Computation:

Perimeter of circle = 2πr

⇒ 40π = 2πr

⇒ 40 = 2r

⇒ Radius r = 40 / 2

Radius r = 20 cm

Area of sector = [θ/360][π][r]²

⇒ Area of sector = [130/360][π][20]²

⇒ Area of sector = [0.361][π][400]

Area of sector = 144.4π cm²

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