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Misha Larkins [42]
3 years ago
7

The angle of sector of cicle of diameter 8cm is 135 . find the area of the sector​

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

18.85 cm²

Step-by-step explanation:

The formula to find the area of a sector = θ/360 × πr²

We are given:

θ = Angle of the sector = 135°

Radius = Diameter/2

Diameter = 8cm , Hence Radius = 8cm/2 = 4cm

Hence,

Area of a sector = 135/360 × π ×(4cm)²

= 18.849555922 cm²

Approximately to the nearest hundredth = 18.85 cm²

Therefore, the area of the sector is 18.85 cm²

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