The observation deck of a building forms a sector with the dimensions shown.
Isafety rail
10 yd
10 yd
Find the length of the safety rail and the area of the deck. Round your answers to the nearest tenth.
The length of the safety rail is about
yards.
The area of the deck is about
square yards.

Respuesta :

1. The length of the safety rail = Arc length is: 15.7 yd

2. The area of the deck = area of sector is: 78.5 yd²

What is the Area of a Sector?

Area of sector = ∅/360 × πr²

What is the Length of an Arc?

Arc length = ∅/360 × 2πr

1. Length of the safety rail = Arc length = ∅/360 × 2πr

= 90/360 × 2π(10)

= 15.7 yd

2. Area of the deck = area of sector = ∅/360 × πr²

= 90/360 × π(10²)

= 78.5 yd²

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